Partitioning the $5\times 5$ array into restrictions of circles

IF 0.4 4区数学 Q4 MATHEMATICS

Contributions To Discrete Mathematics Pub Date : 2020-05-11 DOI:10.11575/CDM.V15I1.62808

R. Dawson

引用次数: 0

Abstract

We show that there is a unique way to partition a $5\times 5$ array of lattice points into restrictions of five circles. This result is extended to the $6\times 5$ array, and used to show the optimality of a six-circle solution for the $6\times 6$ array.

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将$5\乘以5$数组划分为圆的限制

我们证明了有一种唯一的方法将$5\ × 5$晶格点数组划分为五个圆的限制。这一结果被推广到$6\ × 5$数组，并用于显示$6\ × 6$数组的六圆解的最优性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Contributions To Discrete Mathematics MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.