The Ramsey number R(C8, K8)

被引:5
|
作者
Zhang, Yunqing [1 ]
Zhang, Ke Min [1 ]
机构
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
基金
中国国家自然科学基金;
关键词
Ramsey number; Cycle; Complete graph; CYCLE;
D O I
10.1016/j.disc.2007.11.064
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For two given graphs G(1) and G(2), the Ramsey number R(G(1), G(2)) is the smallest integer n such that for any graph G of order n, either G contains G(1) or the complement of G contains G(2). Let C-m denote a cycle of length m and K-n a complete graph of order n. We show that R(C-8, K-8) = 50. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:1084 / 1090
页数:7
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