Acyclic Edge Chromatic Number of Outerplanar Graphs

被引：36
|
作者：
Hou, Jian-Feng [1 ,2 ]
Wu, Jian-Liang [1 ]
Liu, Gui-Zhen [1 ]
Liu, Bin [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[2] Fuzhou Univ, Ctr Discrete Math, Fuzhou 350002, Peoples R China
来源：
JOURNAL OF GRAPH THEORY | 2010年 / 64卷 / 01期
关键词：
acyclic; edge coloring; outerplanar graph; PLANAR GRAPHS; COLORINGS;
D O I：
10.1002/jgt.20436
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A proper edge coloring of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by 7(G), is the least number of colors in an acyclic edge coloring of G. In this paper, we determine completely the acyclic edge chromatic number of outerplanar graphs. The proof is constructive and supplies a polynomial time algorithm to acyclically color the edges of any outerplanar graph G using chi(a)'(G) colors. (C) 2009 Wiley Periodicals. Inc. J Graph Theory 64: 22-36, 2010
引用
收藏
页码：22 / 36
页数：15
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