Choosability and paintability of the lexicographic product of graphs

被引：0
作者：
Keszegh, Balazs [1 ]
Zhu, Xuding [2 ]
机构：
[1] Alfred Renyi Inst Math, POB 127, H-1364 Budapest, Hungary
[2] Zhejiang Normal Univ, Dept Math, Jinhua, Zhejiang, Peoples R China
来源：
DISCRETE APPLIED MATHEMATICS | 2017年 / 223卷
关键词：
List coloring; Choice number; On-line choosability; Paintability; Game coloring; Lexicographic product;
D O I：
10.1016/j.dam.2017.02.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the choice number and paint number of the lexicographic product of graphs. We prove that if G has maximum degree 4, then for any graph H on n vertices ch(G[H]) <= (4 triangle + 2)(ch(H) + log(2) n) and X-p(G[H]) <= (4 triangle + 2)(X-P(1-1) + log(2) n). (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：84 / 90
页数：7
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