Version 1
: Received: 31 October 2022 / Approved: 1 November 2022 / Online: 1 November 2022 (09:59:47 CET)
Version 2
: Received: 9 January 2023 / Approved: 9 January 2023 / Online: 9 January 2023 (11:03:46 CET)
How to cite:
Liu, T.; Luo, C. The Proof of a Conjecture For a Continuos Golumb Ruler Model. Preprints2022, 2022110027. https://doi.org/10.20944/preprints202211.0027.v2
Liu, T.; Luo, C. The Proof of a Conjecture For a Continuos Golumb Ruler Model. Preprints 2022, 2022110027. https://doi.org/10.20944/preprints202211.0027.v2
Liu, T.; Luo, C. The Proof of a Conjecture For a Continuos Golumb Ruler Model. Preprints2022, 2022110027. https://doi.org/10.20944/preprints202211.0027.v2
APA Style
Liu, T., & Luo, C. (2023). The Proof of a Conjecture For a Continuos Golumb Ruler Model. Preprints. https://doi.org/10.20944/preprints202211.0027.v2
Chicago/Turabian Style
Liu, T. and Cuicui Luo. 2023 "The Proof of a Conjecture For a Continuos Golumb Ruler Model" Preprints. https://doi.org/10.20944/preprints202211.0027.v2
Abstract
In this paper we study a conjecture proposed by P.Duxbury , C.laror , L.Leduino de Salles Neto in 2021\cite{conjecture} on the Golumb Ruler Problem which is a classical optimization model in discrete case . In \cite{conjecture} the authors constucted a continuous model for the Golumb Ruler Problem associated to the discrete case and conjectured that the optimal value of both cases are equal . We deal with this conjecture via algebraic geometrical methods .
Keywords
The Golumb Ruler Problem; Brauer Groups; Rational Approxmation
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Commenter: Tianyu Liu
Commenter's Conflict of Interests: Author