Star coloring high girth planar graphs

被引：0
|
作者：
Timmons, Craig [1 ]
机构：
[1] Calif State Univ San Marcos, Dept Math, San Marcos, CA 92096 USA
来源：
ELECTRONIC JOURNAL OF COMBINATORICS | 2008年 / 15卷 / 01期
关键词：
star coloring; planar graph coloring;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A star coloring of a graph is a proper coloring such that no path on four vertices is 2-colored. We prove that every planar graph with girth at least 9 can be star colored using 5 colors, and that every planar graph with girth at least 14 can be star colored using 4 colors; the figure 4 is best possible. We give an example of a girth 7 planar graph that requires 5 colors to star color.
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页数：17
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