On the Minimum Degree of Minimal Ramsey Graphs

被引：15
|
作者：
Szabo, Tibor [1 ]
Zumstein, Philipp [2 ]
Zuercher, Stefanie [2 ]
机构：
[1] McGill Univ, Dept Math & Stat, Montreal, PQ, Canada
[2] ETH, Inst Theoret Comp Sci, Zurich, Switzerland
来源：
JOURNAL OF GRAPH THEORY | 2010年 / 64卷 / 02期
关键词：
Ramsey theory; minimal Ramsey graphs; minimum degree; Ramsey-equivalent; Ramsey-seperable;
D O I：
10.1002/jgt.20445
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the minimization problem of the minimum degree of minimal Ramsey graphs, initiated by Burr et al. We determine the corresponding graph parameter for numerous bipartite graphs, including bi-regular bipartite graphs and forests. We also make initial progress for graphs of larger chromatic number. Numerous interesting problems remain open. (C) 2009 Wiley Periodicals, Inc. J Graph Theory 64: 150-164, 2010
引用
收藏
页码：150 / 164
页数：15
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