Large convex sets in difference sets

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2024-06-30 DOI:10.1112/mtk.12263

Krishnendu Bhowmick, Ben Lund, Oliver Roche-Newton

引用次数: 0

Abstract

We give a construction of a convex set with cardinality such that contains a convex subset with cardinality . We also consider the following variant of this problem: given a convex set , what is the size of the largest matching such that the set

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差集中的大凸集

我们给出了一个凸集的构造，该凸集包含一个凸子集，且该凸子集的万有引力为。我们还考虑了这一问题的以下变式：给定一个凸集，最大匹配的大小是多少，使得凸集

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

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.