Submitted:
31 October 2022
Posted:
01 November 2022
Read the latest preprint version here
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
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