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The Proof of a Conjecture For a Continuos Golumb Ruler Model
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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)
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. 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. Preprints 2022, 2022110027. 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.
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