1. Background
Fuzzy set in
Ref. [
54] by Zadeh (1965), intuitionistic fuzzy sets in
Ref. [
41] by Atanassov (1986), a first step to a theory of the intuitionistic fuzzy graphs in
Ref. [
51] by Shannon and Atanassov (1994), a unifying field in logics neutrosophy: neutrosophic probability, set and logic, rehoboth in
Ref. [
52] by Smarandache (1998), single-valued neutrosophic sets in
Ref. [
53] by Wang et al. (2010), single-valued neutrosophic graphs in
Ref. [
45] by Broumi et al. (2016), operations on single-valued neutrosophic graphs in
Ref. [
37] by Akram and Shahzadi (2017), neutrosophic soft graphs in
Ref. [
50] by Shah and Hussain (2016), bounds on the average and minimum attendance in preference-based activity scheduling in
Ref. [
39] by Aronshtam and Ilani (2022), investigating the recoverable robust single machine scheduling problem under interval uncertainty in
Ref. [
44] by Bold and Goerigk (2022), polyhedra associated with locating-dominating, open locating-dominating and locating total-dominating sets in graphs in
Ref. [
38] by G. Argiroffo et al. (2022), a Vizing-type result for semi-total domination in
Ref. [
40] by J. Asplund et al. (2020), total domination cover rubbling in
Ref. [
42] by R.A. Beeler et al. (2020), on the global total k-domination number of graphs in
Ref. [
43] by S. Bermudo et al. (2019), maker–breaker total domination game in
Ref. [
46] by V. Gledel et al. (2020), a new upper bound on the total domination number in graphs with minimum degree six in
Ref. [
47] by M.A. Henning, and A. Yeo (2021), effect of predomination and vertex removal on the game total domination number of a graph in
Ref. [
48] by V. Irsic (2019), hardness results of global total k-domination problem in graphs in
Ref. [
49] by B.S. Panda, and P. Goyal (2021), are studied.
Look at [
32,
33,
34,
35,
36] for further researches on this topic. See the seminal researches [
1,
2,
3]. The formalization of the notions on the framework of Extreme Failed SuperHyperClique theory, Neutrosophic Failed SuperHyperClique theory, and (Neutrosophic) SuperHyperGraphs theory at [
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29]. Two popular research books in Scribd in the terms of high readers, 2638 and 3363 respectively, on neutrosophic science is on [
30,
31].
3. General Neutrosophic Results for Cancer’s Neutrosophic Recognition toward Neutrosophic Failed SuperHyperStable
For the Neutrosophic Failed SuperHyperStable, and the Neutrosophic Failed SuperHyperStable, some general results are introduced.
Remark 1. Let remind that the Neutrosophic Failed SuperHyperStable is “redefined” on the positions of the alphabets.
Corollary 1.
Assume Neutrosophic Failed SuperHyperStable. Then
Where is the unary operation on the SuperHyperVertices of the SuperHyperGraph to assign the determinacy, the indeterminacy and the neutrality, for respectively.
Corollary 2. Assume a neutrosophic SuperHyperGraph on the same identical letter of the alphabet. Then the notion of Neutrosophic Failed SuperHyperStable and Neutrosophic Failed SuperHyperStable coincide.
Corollary 3. Assume a neutrosophic SuperHyperGraph on the same identical letter of the alphabet. Then a consecutive sequence of the SuperHyperVertices is a Neutrosophic Failed SuperHyperStable if and only if it’s a Failed SuperHyperStable.
Corollary 4. Assume a neutrosophic SuperHyperGraph on the same identical letter of the alphabet. Then a consecutive sequence of the SuperHyperVertices is a strongest SuperHyperCycle if and only if it’s a longest SuperHyperCycle.
Corollary 5. Assume SuperHyperClasses of a neutrosophic SuperHyperGraph on the same identical letter of the alphabet. Then its Neutrosophic Failed SuperHyperStable is its Neutrosophic Failed SuperHyperStable and reversely.
Corollary 6. Assume a neutrosophic SuperHyperPath(-/SuperHyperCycle, SuperHyperStar, SuperHyperBipartite, SuperHyperMultipartite, SuperHyperWheel) on the same identical letter of the alphabet. Then its Neutrosophic Failed SuperHyperStable is its Neutrosophic Failed SuperHyperStable and reversely.
Corollary 7. Assume a neutrosophic SuperHyperGraph. Then its Neutrosophic Failed SuperHyperStable isn’t well-defined if and only if its Neutrosophic Failed SuperHyperStable isn’t well-defined.
Corollary 8. Assume SuperHyperClasses of a neutrosophic SuperHyperGraph. Then its Neutrosophic Failed SuperHyperStable isn’t well-defined if and only if its Neutrosophic Failed SuperHyperStable isn’t well-defined.
Corollary 9. Assume a neutrosophic SuperHyperPath(-/SuperHyperCycle, SuperHyperStar, SuperHyperBipartite, SuperHyperMultipartite, SuperHyperWheel). Then its Neutrosophic Failed SuperHyperStable isn’t well-defined if and only if its Neutrosophic Failed SuperHyperStable isn’t well-defined.
Corollary 10. Assume a neutrosophic SuperHyperGraph. Then its Neutrosophic Failed SuperHyperStable is well-defined if and only if its Neutrosophic Failed SuperHyperStable is well-defined.
Corollary 11. Assume SuperHyperClasses of a neutrosophic SuperHyperGraph. Then its Neutrosophic Failed SuperHyperStable is well-defined if and only if its Neutrosophic Failed SuperHyperStable is well-defined.
Corollary 12. Assume a neutrosophic SuperHyperPath(-/SuperHyperCycle, SuperHyperStar, SuperHyperBipartite, SuperHyperMultipartite, SuperHyperWheel). Then its Neutrosophic Failed SuperHyperStable is well-defined if and only if its Neutrosophic Failed SuperHyperStable is well-defined.
Proposition 1. Let be a neutrosophic SuperHyperGraph. Then V is
the dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the strong dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the connected dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the δ-dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the strong δ-dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the connected δ-dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 2. Let be a neutrosophic SuperHyperGraph. Then ∅ is
the SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the strong SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the connected defensive SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the δ-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the strong δ-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the connected δ-SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 3. Let be a neutrosophic SuperHyperGraph. Then an independent SuperHyperSet is
the SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the strong SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the connected SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the δ-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the strong δ-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the connected δ-SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 4. Let be a neutrosophic SuperHyperUniform SuperHyperGraph which is a SuperHyperCycle/SuperHyperPath. Then V is a maximal
SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong -SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected -SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
Where the exterior SuperHyperVertices and the interior SuperHyperVertices coincide.
Proposition 5. Let be a neutrosophic SuperHyperGraph which is a SuperHyperUniform SuperHyperWheel. Then V is a maximal
dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
-dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong -dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected -dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
Where the exterior SuperHyperVertices and the interior SuperHyperVertices coincide.
Proposition 6. Let be a neutrosophic SuperHyperUniform SuperHyperGraph which is a SuperHyperCycle/SuperHyperPath. Then the number of
the Neutrosophic Failed SuperHyperStable;
the Neutrosophic Failed SuperHyperStable;
the connected Neutrosophic Failed SuperHyperStable;
the -Neutrosophic Failed SuperHyperStable;
the strong -Neutrosophic Failed SuperHyperStable;
the connected -Neutrosophic Failed SuperHyperStable.
is one and it’s only Where the exterior SuperHyperVertices and the interior SuperHyperVertices coincide.
Proposition 7. Let be a neutrosophic SuperHyperUniform SuperHyperGraph which is a SuperHyperWheel. Then the number of
the dual Neutrosophic Failed SuperHyperStable;
the dual Neutrosophic Failed SuperHyperStable;
the dual connected Neutrosophic Failed SuperHyperStable;
the dual -Neutrosophic Failed SuperHyperStable;
the strong dual -Neutrosophic Failed SuperHyperStable;
the connected dual -Neutrosophic Failed SuperHyperStable.
is one and it’s only Where the exterior SuperHyperVertices and the interior SuperHyperVertices coincide.
Proposition 8. Let be a neutrosophic SuperHyperUniform SuperHyperGraph which is a SuperHyperStar/SuperHyperComplete SuperHyperBipartite/SuperHyperComplete SuperHyperMultipartite. Then a SuperHyperSet contains [the SuperHyperCenter and] the half of multiplying r with the number of all the SuperHyperEdges plus one of all the SuperHyperVertices is a
dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
-dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong -dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected -dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 9. Let be a neutrosophic SuperHyperUniform SuperHyperGraph which is a SuperHyperStar/SuperHyperComplete SuperHyperBipartite/SuperHyperComplete SuperHyperMultipartite. Then a SuperHyperSet contains the half of multiplying r with the number of all the SuperHyperEdges plus one of all the SuperHyperVertices in the biggest SuperHyperPart is a
SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
δ-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong δ-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected δ-SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 10. Let be a neutrosophic SuperHyperUniform SuperHyperGraph which is a SuperHyperStar/SuperHyperComplete SuperHyperBipartite/SuperHyperComplete SuperHyperMultipartite. Then Then the number of
dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
-dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong -dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected -dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
is one and it’s only a SuperHyperSet contains [the SuperHyperCenter and] the half of multiplying r with the number of all the SuperHyperEdges plus one of all the SuperHyperVertices. Where the exterior SuperHyperVertices and the interior SuperHyperVertices coincide.
Proposition 11. Let be a neutrosophic SuperHyperGraph. The number of connected component is if there’s a SuperHyperSet which is a dual
SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
Neutrosophic Failed SuperHyperStable;
strong 1-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected 1-SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 12. Let be a neutrosophic SuperHyperGraph. Then the number is at most and the neutrosophic number is at most
Proposition 13. Let be a neutrosophic SuperHyperGraph. Then the number is at most and the neutrosophic number is at most
Proposition 14. Let be a neutrosophic SuperHyperGraph which is SuperHyperComplete. The number is and the neutrosophic number is in the setting of dual
SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong -SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected -SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 15. Let be a neutrosophic SuperHyperGraph which is The number is 0 and the neutrosophic number is for an independent SuperHyperSet in the setting of dual
SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
0-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong 0-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected 0-SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 16. Let be a neutrosophic SuperHyperGraph which is SuperHyperComplete. Then there’s no independent SuperHyperSet.
Proposition 17. Let be a neutrosophic SuperHyperGraph which is SuperHyperCycle/SuperHyperPath/SuperHyperWheel. The number is and the neutrosophic number is in the setting of a dual
SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong -SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected -SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 18. Let be a neutrosophic SuperHyperGraph which is SuperHyperStar/complete SuperHyperBipartite/complete SuperHyperMultiPartite. The number is and the neutrosophic number is in the setting of a dual
SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
strong -SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
connected -SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 19. Let be a SuperHyperFamily of the neutrosophic SuperHyperGraphs which are from one-type SuperHyperClass which the result is obtained for the individuals. Then the results also hold for the SuperHyperFamily of these specific SuperHyperClasses of the neutrosophic SuperHyperGraphs.
Proposition 20. Let be a strong neutrosophic SuperHyperGraph. If S is a dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable, then such that
Proposition 21. Let be a strong neutrosophic SuperHyperGraph. If S is a dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable, then
S is SuperHyperDominating set;
there’s such that is SuperHyperChromatic number.
Proposition 22. Let be a strong neutrosophic SuperHyperGraph. Then
Proposition 23. Let be a strong neutrosophic SuperHyperGraph which is connected. Then
Proposition 24. Let be an odd SuperHyperPath. Then
the SuperHyperSet is a dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
and corresponded SuperHyperSet is ;
the SuperHyperSets and are only a dual Neutrosophic Failed SuperHyperStable.
Proposition 25. Let be an even SuperHyperPath. Then
the set is a dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
and corresponded SuperHyperSets are and
the SuperHyperSets and are only dual Neutrosophic Failed SuperHyperStable.
Proposition 26. Let be an even SuperHyperCycle. Then
the SuperHyperSet is a dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
and corresponded SuperHyperSets are and
the SuperHyperSets and are only dual Neutrosophic Failed SuperHyperStable.
Proposition 27. Let be an odd SuperHyperCycle. Then
the SuperHyperSet is a dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
and corresponded SuperHyperSet is ;
the SuperHyperSets and are only dual Neutrosophic Failed SuperHyperStable.
Proposition 28. Let be SuperHyperStar. Then
the SuperHyperSet is a dual maximal Neutrosophic Failed SuperHyperStable;
the SuperHyperSets and are only dual Neutrosophic Failed SuperHyperStable.
Proposition 29. Let be SuperHyperWheel. Then
the SuperHyperSet is a dual maximal SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the SuperHyperSet is only a dual maximal SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 30. Let be an odd SuperHyperComplete. Then
the SuperHyperSet is a dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the SuperHyperSet is only a dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 31. Let be an even SuperHyperComplete. Then
the SuperHyperSet is a dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
the SuperHyperSet is only a dual maximal SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 32. Let be a m-SuperHyperFamily of neutrosophic SuperHyperStars with common neutrosophic SuperHyperVertex SuperHyperSet. Then
the SuperHyperSet is a dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable for
for
for
the SuperHyperSets and are only dual Neutrosophic Failed SuperHyperStable for
Proposition 33. Let be an m-SuperHyperFamily of odd SuperHyperComplete SuperHyperGraphs with common neutrosophic SuperHyperVertex SuperHyperSet. Then
the SuperHyperSet is a dual maximal SuperHyperDefensive Neutrosophic Failed SuperHyperStable for
for
for
the SuperHyperSets are only a dual maximal Neutrosophic Failed SuperHyperStable for
Proposition 34. Let be a m-SuperHyperFamily of even SuperHyperComplete SuperHyperGraphs with common neutrosophic SuperHyperVertex SuperHyperSet. Then
the SuperHyperSet is a dual SuperHyperDefensive Neutrosophic Failed SuperHyperStable for
for
for
the SuperHyperSets are only dual maximal Neutrosophic Failed SuperHyperStable for
Proposition 35. Let be a strong neutrosophic SuperHyperGraph. Then following statements hold;
if and a SuperHyperSet S of SuperHyperVertices is an t-SuperHyperDefensive Neutrosophic Failed SuperHyperStable, then S is an s-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if and a SuperHyperSet S of SuperHyperVertices is a dual t-SuperHyperDefensive Neutrosophic Failed SuperHyperStable, then S is a dual s-SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 36. Let be a strong neutrosophic SuperHyperGraph. Then following statements hold;
if and a SuperHyperSet S of SuperHyperVertices is an t-SuperHyperDefensive Neutrosophic Failed SuperHyperStable, then S is an s-SuperHyperPowerful Neutrosophic Failed SuperHyperStable;
if and a SuperHyperSet S of SuperHyperVertices is a dual t-SuperHyperDefensive Neutrosophic Failed SuperHyperStable, then S is a dual s-SuperHyperPowerful Neutrosophic Failed SuperHyperStable.
Proposition 37. Let be a[an] [r-]SuperHyperUniform-strong-neutrosophic SuperHyperGraph. Then following statements hold;
if then is an 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if then is a dual 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if then is an r-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if then is a dual r-SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 38. Let is a[an] [r-]SuperHyperUniform-strong-neutrosophic SuperHyperGraph. Then following statements hold;
if is an 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if is a dual 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if is an r-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if is a dual r-SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 39. Let is a[an] [r-]SuperHyperUniform-strong-neutrosophic SuperHyperGraph which is a SuperHyperComplete. Then following statements hold;
if is an 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if is a dual 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if is an -SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if is a dual -SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 40. Let is a[an] [r-]SuperHyperUniform-strong-neutrosophic SuperHyperGraph which is a SuperHyperComplete. Then following statements hold;
if then is an 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if then is a dual 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if then is -SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if then is a dual -SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 41. Let is a[an] [r-]SuperHyperUniform-strong-neutrosophic SuperHyperGraph which is SuperHyperCycle. Then following statements hold;
if is an 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if is a dual 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if is an 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if is a dual 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
Proposition 42. Let is a[an] [r-]SuperHyperUniform-strong-neutrosophic SuperHyperGraph which is SuperHyperCycle. Then following statements hold;
if then is an 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if then is a dual 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if then is an 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable;
if then is a dual 2-SuperHyperDefensive Neutrosophic Failed SuperHyperStable.
5. Neutrosophic Failed SuperHyperStable in Some Neutrosophic Situations for Cancer without any names or any Neutrosophic specific classes
Example 1. Assume the neutrosophic SuperHyperGraph s in the Figure 1, Figure 2, Figure 3, Figure 4, Figure 5, Figure 6, Figure 7, Figure 8, Figure 9, Figure 10, Figure 11, Figure 12, Figure 13, Figure 14, Figure 15, Figure 16, Figure 17, Figure 18, Figure 19 and Figure 20.
On the Figure 1, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. and neutrosophic Failed SuperHyperStable are some empty neutrosophic SuperHyperEdges but is a loop neutrosophic SuperHyperEdge and is a neutrosophic SuperHyperEdge. Thus in the terms of neutrosophic SuperHyperNeighbor, there’s only one neutrosophic SuperHyperEdge, namely, The neutrosophic SuperHyperVertex, is isolated means that there’s no neutrosophic SuperHyperEdge has it as an endpoint. Thus neutrosophic SuperHyperVertex, is contained in every given neutrosophic Failed SuperHyperStable. All the following SuperHyperSet of neutrosophic SuperHyperVertices is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is corresponded to a neutrosophic Failed SuperHyperStable for a neutrosophic SuperHyperGraph is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only three neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only one neutrosophic SuperHyperVertex. But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is corresponded to a neutrosophic Failed SuperHyperStable for a neutrosophic SuperHyperGraph is the SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and they are corresponded to a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is the SuperHyperSet, doesn’t include only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph It’s interesting to mention that the only obvious simple type-SuperHyperSet of the neutrosophic neutrosophic Failed SuperHyperStable amid those obvious simple type-SuperHyperSets of the neutrosophic Failed SuperHyperStable, is only
On the Figure 2, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. and neutrosophic Failed SuperHyperStable are some empty neutrosophic SuperHyperEdges but is a loop neutrosophic SuperHyperEdge and is a neutrosophic SuperHyperEdge. Thus in the terms of neutrosophic SuperHyperNeighbor, there’s only one neutrosophic SuperHyperEdge, namely, The neutrosophic SuperHyperVertex, is isolated means that there’s no neutrosophic SuperHyperEdge has it as an endpoint. Thus neutrosophic SuperHyperVertex, is contained in every given neutrosophic Failed SuperHyperStable. All the following SuperHyperSet of neutrosophic SuperHyperVertices is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is corresponded to a neutrosophic Failed SuperHyperStable for a neutrosophic SuperHyperGraph is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only three neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only one neutrosophic SuperHyperVertex. But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is corresponded to a neutrosophic Failed SuperHyperStable for a neutrosophic SuperHyperGraph is the SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and they are corresponded to a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is the SuperHyperSet, doesn’t include only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph It’s interesting to mention that the only obvious simple type-SuperHyperSet of the neutrosophic neutrosophic Failed SuperHyperStable amid those obvious simple type-SuperHyperSets of the neutrosophic Failed SuperHyperStable, is only
On the Figure 3, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. and are some empty neutrosophic SuperHyperEdges but is a neutrosophic SuperHyperEdge. Thus in the terms of neutrosophic SuperHyperNeighbor, there’s only one neutrosophic SuperHyperEdge, namely, The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only two neutrosophic SuperHyperVertex inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only one neutrosophic SuperHyperVertex in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertex inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is corresponded to a neutrosophic Failed SuperHyperStable for a neutrosophic SuperHyperGraph is the SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and they are neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSets, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is the SuperHyperSet, don’t include only more than one neutrosophic SuperHyperVertex in a connected neutrosophic SuperHyperGraph It’s interesting to mention that the only obvious simple type-SuperHyperSets of the neutrosophic neutrosophic Failed SuperHyperStable amid those obvious simple type-SuperHyperSets of the neutrosophic Failed SuperHyperStable, is only
On the Figure 4, the neutrosophic SuperHyperNotion, namely, a neutrosophic Failed SuperHyperStable, is up. There’s no empty neutrosophic SuperHyperEdge but are a loop neutrosophic SuperHyperEdge on and there are some neutrosophic SuperHyperEdges , namely, on alongside on and on The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only three neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only one neutrosophic SuperHyperVertex since it doesn’t form any kind of pairs titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, doesn’t include only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph
On the Figure 5, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re not only one neutrosophic SuperHyperVertex inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only one neutrosophic SuperHyperVertex thus it doesn’t form any kind of pairs titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. and it’s neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, doesn’t include only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph is mentioned as the neutrosophic SuperHyperModel in the Figure 5.
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On the Figure 6, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices,
is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices,
is the maximum neutrosophic cardinality of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re not only one neutrosophic SuperHyperVertex inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only one neutrosophic SuperHyperVertex doesn’t form any kind of pairs titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices,
doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices,
is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices,
is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet,
Thus the non-obvious neutrosophic Failed SuperHyperStable,
is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable,
doesn’t include only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph with a illustrated neutrosophic SuperHyperModel ing of the Figure 6.
On the Figure 7, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’s only one neutrosophic SuperHyperVertex inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only one neutrosophic SuperHyperVertex doesn’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, doesn’t include only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph of depicted neutrosophic SuperHyperModel as the Figure 7.
On the Figure 8, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’s only one neutrosophic SuperHyperVertex inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only one neutrosophic SuperHyperVertex doesn’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, doesn’t include only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph of dense neutrosophic SuperHyperModel as the Figure 8.
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On the Figure 9, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices,
is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices,
is the maximum neutrosophic cardinality of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only only neutrosophic SuperHyperVertex inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only one neutrosophic SuperHyperVertex doesn’t form any kind of pairs titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices,
doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices,
is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices,
is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet,
Thus the non-obvious neutrosophic Failed SuperHyperStable,
is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable,
doesn’t include only less than two neutrosophic SuperHyperVertices in a connected neutrosophic neutrosophic SuperHyperGraph with a messy neutrosophic SuperHyperModel ing of the Figure 9.
On the Figure 10, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re not only two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, doesn’t include only more than one neutrosophic SuperHyperVertex in a connected neutrosophic SuperHyperGraph of highly-embedding-connected neutrosophic SuperHyperModel as the Figure 10.
On the Figure 11, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re not only less than one neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only less than two neutrosophic SuperHyperVertices don’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, doesn’t include only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph
On the Figure 12, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re not only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only less than two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and they are neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, doesn’t include only more than one neutrosophic SuperHyperVertex in a connected neutrosophic SuperHyperGraph in highly-multiple-connected-style neutrosophic SuperHyperModel On the Figure 12.
On the Figure 13, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re not only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only less than two neutrosophic SuperHyperVertices don’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, does includes only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph
On the Figure 14, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only less than two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, does includes only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph
On the Figure 15, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only less than two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices , doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, doesn’t include only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph as Linearly-Connected neutrosophic SuperHyperModel On the Figure 15.
On the Figure 16, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only less than two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, does includes only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph
On the Figure 17, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only less than two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, does includes only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph as Linearly-over-packed neutrosophic SuperHyperModel is featured On the Figure 17.
On the Figure 18, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices, is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices, is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only less than two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices, doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices, is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices, is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the non-obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, does includes only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph
-
On the Figure 19, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices,
is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices,
is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only less than two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices,
doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices,
is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices ,
is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet,
Thus the non-obvious neutrosophic Failed SuperHyperStable,
is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable,
does includes only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph
-
On the Figure 20, the neutrosophic SuperHyperNotion, namely, neutrosophic Failed SuperHyperStable, is up. There’s neither empty neutrosophic SuperHyperEdge nor loop neutrosophic SuperHyperEdge. The SuperHyperSet of neutrosophic SuperHyperVertices,
is the simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. The SuperHyperSet of the neutrosophic SuperHyperVertices,
is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There’re only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious neutrosophic Failed SuperHyperStable is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is a SuperHyperSet includes only less than two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled to neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph But the SuperHyperSet of neutrosophic SuperHyperVertices,
doesn’t have less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable is up. To sum them up, the SuperHyperSet of neutrosophic SuperHyperVertices,
is the non-obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable. Since the SuperHyperSet of the neutrosophic SuperHyperVertices,
is the SuperHyperSet Ss of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common and it’s a neutrosophic Failed SuperHyperStable. Since it’s the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. There aren’t only less than two neutrosophic SuperHyperVertices inside the intended SuperHyperSet,
Thus the non-obvious neutrosophic Failed SuperHyperStable,
is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable,
is a SuperHyperSet, does includes only less than two neutrosophic SuperHyperVertices in a connected neutrosophic SuperHyperGraph
Figure 1.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 1.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Proposition 43. Assume a connected neutrosophic SuperHyperGraph Then in the worst case, literally, is a neutrosophic Failed SuperHyperStable. In other words, the least neutrosophic cardinality, the lower sharp bound for the neutrosophic cardinality, of a neutrosophic Failed SuperHyperStable is the neutrosophic cardinality of
Proof. Assume a connected neutrosophic SuperHyperGraph The SuperHyperSet of the neutrosophic SuperHyperVertices is a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t have the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. The SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t do the procedure such that such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. [there’er at least three neutrosophic SuperHyperVertices inside implying there’s, sometimes in the connected neutrosophic SuperHyperGraph a neutrosophic SuperHyperVertex, titled its neutrosophic SuperHyperNeighbor, to that neutrosophic SuperHyperVertex in the SuperHyperSet S so as S doesn’t do “the procedure”.]. There’re only two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, includes only two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph Since the SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. □
Figure 2.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 2.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 3.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 3.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 4.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 4.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 5.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 5.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 6.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 6.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 7.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 7.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 8.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 8.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 9.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 9.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 10.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 10.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 11.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 11.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 12.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 12.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 13.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 13.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 14.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 14.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 15.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 15.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 16.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 16.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 17.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 17.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 18.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 18.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 19.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 19.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 20.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Figure 20.
The neutrosophic SuperHyperGraph s Associated to the Notions of neutrosophic Failed SuperHyperStable in the Example 1
Proposition 44. Assume a connected neutrosophic SuperHyperGraph Then the neutrosophic number of neutrosophic Failed SuperHyperStable has, the least neutrosophic cardinality, the lower sharp bound for neutrosophic cardinality, is the neutrosophic neutrosophic cardinality of if there’s a neutrosophic Failed SuperHyperStable with the least neutrosophic cardinality, the lower sharp bound for neutrosophic cardinality .
Proof. Assume a connected neutrosophic SuperHyperGraph Consider there’s a neutrosophic Failed SuperHyperStable with the least neutrosophic cardinality, the lower sharp bound for neutrosophic cardinality. The SuperHyperSet of the neutrosophic SuperHyperVertices is a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t have the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. The SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t do the procedure such that such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. [there’er at least three neutrosophic SuperHyperVertices inside implying there’s, sometimes in the connected neutrosophic SuperHyperGraph a neutrosophic SuperHyperVertex, titled its neutrosophic SuperHyperNeighbor, to that neutrosophic SuperHyperVertex in the SuperHyperSet S so as S doesn’t do “the procedure”.]. There’re only two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, includes only two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph Since the SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. Thus, in a connected neutrosophic SuperHyperGraph the neutrosophic number of neutrosophic Failed SuperHyperStable has, the least neutrosophic cardinality, the lower sharp bound for neutrosophic cardinality, is the neutrosophic neutrosophic cardinality of if there’s a neutrosophic Failed SuperHyperStable with the least neutrosophic cardinality, the lower sharp bound for neutrosophic cardinality . □
Proposition 45. Assume a connected neutrosophic SuperHyperGraph If a neutrosophic SuperHyperEdge has z neutrosophic SuperHyperVertices, then number of those interior neutrosophic SuperHyperVertices from that neutrosophic SuperHyperEdge exclude to any neutrosophic Failed SuperHyperStable.
Proof. Assume a connected neutrosophic SuperHyperGraph Let a neutrosophic SuperHyperEdge has z neutrosophic SuperHyperVertices. Consider number of those neutrosophic SuperHyperVertices from that neutrosophic SuperHyperEdge exclude to any given SuperHyperSet of the neutrosophic SuperHyperVertices. Consider there’s a neutrosophic Failed SuperHyperStable with the least neutrosophic cardinality, the lower sharp bound for neutrosophic cardinality. Assume a connected neutrosophic SuperHyperGraph The SuperHyperSet of the neutrosophic SuperHyperVertices is a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t have the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. The SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t do the procedure such that such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. [there’er at least three neutrosophic SuperHyperVertices inside implying there’s, sometimes in the connected neutrosophic SuperHyperGraph a neutrosophic SuperHyperVertex, titled its neutrosophic SuperHyperNeighbor, to that neutrosophic SuperHyperVertex in the SuperHyperSet S so as S doesn’t do “the procedure”.]. There’re only two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, includes only two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph Since the SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. Thus, in a connected neutrosophic SuperHyperGraph a neutrosophic SuperHyperEdge has z neutrosophic SuperHyperVertices, then number of those interior neutrosophic SuperHyperVertices from that neutrosophic SuperHyperEdge exclude to any neutrosophic Failed SuperHyperStable. □
Proposition 46. Assume a connected neutrosophic SuperHyperGraph There’s only one neutrosophic SuperHyperEdge has only less than three distinct interior neutrosophic SuperHyperVertices inside of any given neutrosophic Failed SuperHyperStable. In other words, there’s only an unique neutrosophic SuperHyperEdge has only two distinct neutrosophic SuperHyperVertices in a neutrosophic Failed SuperHyperStable .
Proof. Assume a connected neutrosophic SuperHyperGraph Let a neutrosophic SuperHyperEdge has some neutrosophic SuperHyperVertices. Consider some numbers of those neutrosophic SuperHyperVertices from that neutrosophic SuperHyperEdge excluding more than two distinct neutrosophic SuperHyperVertices, exclude to any given SuperHyperSet of the neutrosophic SuperHyperVertices . Consider there’s neutrosophic Failed SuperHyperStable with the least neutrosophic cardinality, the lower sharp bound for neutrosophic cardinality. Assume a connected neutrosophic SuperHyperGraph The SuperHyperSet of the neutrosophic SuperHyperVertices is a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t have the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. The SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t do the procedure such that such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. [there’er at least three neutrosophic SuperHyperVertices inside implying there’s, sometimes in the connected neutrosophic SuperHyperGraph a neutrosophic SuperHyperVertex, titled its neutrosophic SuperHyperNeighbor, to that neutrosophic SuperHyperVertex in the SuperHyperSet S so as S doesn’t do “the procedure”.]. There’re only two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, includes only two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph Since the SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. Thus, in a connected neutrosophic SuperHyperGraph there’s only one neutrosophic SuperHyperEdge has only less than three distinct interior neutrosophic SuperHyperVertices inside of any given neutrosophic Failed SuperHyperStable. In other words, there’s only an unique neutrosophic SuperHyperEdge has only two distinct neutrosophic SuperHyperVertices in a neutrosophic Failed SuperHyperStable . □
Proposition 47. Assume a connected neutrosophic SuperHyperGraph The all interior neutrosophic SuperHyperVertices belong to any neutrosophic Failed SuperHyperStable if for any of them, there’s no other corresponded neutrosophic SuperHyperVertex such that the two interior neutrosophic SuperHyperVertices are mutually neutrosophic SuperHyperNeighbors with an exception once.
Proof. Let a neutrosophic SuperHyperEdge has some neutrosophic SuperHyperVertices. Consider all numbers of those neutrosophic SuperHyperVertices from that neutrosophic SuperHyperEdge excluding more than two distinct neutrosophic SuperHyperVertices, exclude to any given SuperHyperSet of the neutrosophic SuperHyperVertices. Consider there’s a neutrosophic Failed SuperHyperStable with the least neutrosophic cardinality, the lower sharp bound for neutrosophic cardinality. Assume a connected neutrosophic SuperHyperGraph The SuperHyperSet of the neutrosophic SuperHyperVertices is a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t have the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. The SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t do the procedure such that such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. [there’er at least three neutrosophic SuperHyperVertices inside implying there’s, sometimes in the connected neutrosophic SuperHyperGraph a neutrosophic SuperHyperVertex, titled its neutrosophic SuperHyperNeighbor, to that neutrosophic SuperHyperVertex in the SuperHyperSet S so as S doesn’t do “the procedure”.]. There’re only two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, includes only two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph Since the SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. Thus, in a connected neutrosophic SuperHyperGraph the all interior neutrosophic SuperHyperVertices belong to any neutrosophic Failed SuperHyperStable if for any of them, there’s no other corresponded neutrosophic SuperHyperVertex such that the two interior neutrosophic SuperHyperVertices are mutually neutrosophic SuperHyperNeighbors with an exception once. □
Proposition 48. Assume a connected neutrosophic SuperHyperGraph The any neutrosophic Failed SuperHyperStable only contains all interior neutrosophic SuperHyperVertices and all exterior neutrosophic SuperHyperVertices where there’s any of them has no neutrosophic SuperHyperNeighbors in and there’s no neutrosophic SuperHyperNeighborhoods in with an exception once but everything is possible about neutrosophic SuperHyperNeighborhoods and neutrosophic SuperHyperNeighbors out.
Proof. Assume a connected neutrosophic SuperHyperGraph Let a neutrosophic SuperHyperEdge has some neutrosophic SuperHyperVertices. Consider all numbers of those neutrosophic SuperHyperVertices from that neutrosophic SuperHyperEdge excluding more than two distinct neutrosophic SuperHyperVertices, exclude to any given SuperHyperSet of the neutrosophic SuperHyperVertices. Consider there’s a neutrosophic Failed SuperHyperStable with the least neutrosophic cardinality, the lower sharp bound for neutrosophic cardinality. Assume a connected neutrosophic SuperHyperGraph The SuperHyperSet of the neutrosophic SuperHyperVertices is a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t have the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. The SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices but it isn’t a neutrosophic Failed SuperHyperStable . Since it doesn’t do the procedure such that such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. [there’er at least three neutrosophic SuperHyperVertices inside implying there’s, sometimes in the connected neutrosophic SuperHyperGraph a neutrosophic SuperHyperVertex, titled its neutrosophic SuperHyperNeighbor, to that neutrosophic SuperHyperVertex in the SuperHyperSet S so as S doesn’t do “the procedure”.]. There’re only two neutrosophic SuperHyperVertices inside the intended SuperHyperSet, Thus the obvious neutrosophic Failed SuperHyperStable, is up. The obvious simple type-SuperHyperSet of the neutrosophic Failed SuperHyperStable, is a SuperHyperSet, includes only two neutrosophic SuperHyperVertices doesn’t form any kind of pairs are titled neutrosophic SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph Since the SuperHyperSet of the neutrosophic SuperHyperVertices is the maximum neutrosophic cardinality of a SuperHyperSet S of neutrosophic SuperHyperVertices such that there’s a neutrosophic SuperHyperVertex to have a neutrosophic SuperHyperEdge in common. Thus, in a connected neutrosophic SuperHyperGraph the any neutrosophic Failed SuperHyperStable only contains all interior neutrosophic SuperHyperVertices and all exterior neutrosophic SuperHyperVertices where there’s any of them has no neutrosophic SuperHyperNeighbors in and there’s no neutrosophic SuperHyperNeighborhoods in with an exception once but everything is possible about neutrosophic SuperHyperNeighborhoods and neutrosophic SuperHyperNeighbors out. □
Remark 2. The words “ neutrosophic Failed SuperHyperStable” and “SuperHyperDominating” both refer to the maximum type-style. In other words, they both refer to the maximum number and the SuperHyperSet with the maximum neutrosophic cardinality.
Proposition 49. Assume a connected neutrosophic SuperHyperGraph Consider a SuperHyperDominating. Then a neutrosophic Failed SuperHyperStable is either out with one additional member.
Proof. Assume a connected neutrosophic SuperHyperGraph Consider a SuperHyperDominating. By applying the Proposition 48, the results are up. Thus on a connected neutrosophic SuperHyperGraph and in a SuperHyperDominating, a neutrosophic Failed SuperHyperStable is either out with one additional member. □