Gallai-Ramsey Numbers for Monochromatic Triangles or 4-Cycles

被引:4
作者
Wu, Haibo [1 ]
Magnant, Colton [2 ]
机构
[1] Northwestern Polytech Univ, Sch Sci, Xian, Shaanxi, Peoples R China
[2] Clayton State Univ, Dept Math, Morrow, GA 30260 USA
关键词
COMPLETE GRAPHS; EDGE-COLORINGS; RAINBOW;
D O I
10.1007/s00373-018-1977-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Gallai-Ramsey numbers often consider edge-colorings of complete graphs in which there are no rainbow triangles. Within such colored complete graphs, the goal is to look for specified monochromatic subgraphs. We consider an "off diagonal" case of this concept by looking for either a monochromatic K-3 in one of some set of colors or a monochromatic C-4 in one of some other set of colors.
引用
收藏
页码:1315 / 1324
页数:10
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