A result in asymmetric Euclidean Ramsey theory

被引：3

作者：

Arman, Andrii ^{[1
]}

Tsaturian, Sergei ^{[1
]}

机构：

[1] Univ Manitoba, Winnipeg, MB R3T 2N2, Canada

来源：

DISCRETE MATHEMATICS | 2018年 / 341卷 / 05期

关键词：

Euclidean Ramsey; Ramsey; Discrete geometry; CHROMATIC NUMBER; SPACE; PLANE;

D O I：

10.1016/j.disc.2017.10.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that if the points of the three-dimensional Euclidean space are coloured with red and blue, then there exist either two red points at unit distance, or six collinear blue points with distance one between any two consecutive points. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：1502 / 1508

页数：7

共 18 条

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