List-Coloring Claw-Free Graphs with Small Clique Number

被引：0
|
作者：
Louis Esperet
András Gyárfás
Frédéric Maffray
机构：
[1] CNRS/Grenoble-INP/UJF-Grenoble 1,
[2] G-SCOP (UMR5272),undefined
[3] Rényi Institute,undefined
来源：
Graphs and Combinatorics | 2014年 / 30卷
关键词：
Claw-free graphs; Chromatic number; List coloring;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Chudnovsky and Seymour proved that every connected claw-free graph that contains a stable set of size 3 has chromatic number at most twice its clique number. We improve this for small clique size, showing that every claw-free graph with clique number at most 3 is 4-choosable and every claw-free graph with clique number at most 4 is 7-choosable. These bounds are tight.
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收藏
页码：365 / 375
页数：10
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