3-Coloring Triangle-Free Planar Graphs with a Precolored 8-Cycle

被引：8

作者：

Dvorak, Zdenek ^{[1
]}

Lidicky, Bernard ^{[2
,3
]}

机构：

[1] Charles Univ Prague, Inst Comp Sci, CR-11636 Prague 1, Czech Republic

[2] Iowa State Univ, Dept Math, Ames, IA USA

[3] Univ Illinois, Urbana, IL USA

来源：

JOURNAL OF GRAPH THEORY | 2015年 / 80卷 / 02期

基金：

美国国家科学基金会;

关键词：

graph coloring; planar graph; MAP;

D O I：

10.1002/jgt.21842

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a planar triangle-free graph and let C be a cycle in G of length at most 8. We characterize all situations where a 3-coloring of C does not extend to a proper 3-coloring of the whole graph. (C) 2014 Wiley Periodicals, Inc.

引用

页码：98 / 111

页数：14

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