Acyclic edge coloring of sparse graphs

被引：3
|
作者：
Wang, Yingqian [1 ]
Sheng, Ping [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
DISCRETE MATHEMATICS | 2012年 / 312卷 / 24期
关键词：
Acyclic edge coloring; Maximum average degree; Triangle-free planar graphs; PLANAR GRAPHS; TRIANGLES;
D O I：
10.1016/j.disc.2012.08.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let Delta denote the maximum degree of a graph. Fiamcik first, Alon, Sudakov and Zaks later conjectured that every graph is acyclically edge (Delta + 2)-colorable. In this paper, we prove this conjecture for graphs with maximum average degree less than 4. As a corollary, triangle-free planar graphs are acyclically edge (Delta + 2)-colorable. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：3561 / 3573
页数：13
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