欧几里得拉姆齐理论的进展

IF 1 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2024-12-13 DOI:10.1016/j.ejc.2024.104105

Jakob Führer , Géza Tóth

引用次数: 0

摘要

Conlon和Wu（2022）表明，En的红/蓝着色不包含3个单位距离分隔的红色共线点，m=1050个单位距离分隔的蓝色共线点。我们证明当m=1177时，命题成立。我们在不同的点间距离下得到了相似的结果。

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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Progressions in Euclidean Ramsey theory

Conlon and Wu (2022) showed that there is a red/blue-coloring of

E^{n}

that does not contain 3 red collinear points separated by unit distance and

m = 1 0^{50}

blue collinear points separated by unit distance. We prove that the statement holds with

m = 1177

. We show similar results with different distances between the points.

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来源期刊

European Journal of Combinatorics 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.