Equitable total coloring of graphs with maximum degree 3

被引:45
|
作者
Wang, WF [1 ]
机构
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
关键词
Maximum Degree; Chromatic Number; Small Integer; Total Coloring; Color Classis;
D O I
10.1007/s003730200051
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The equitable total chromatic number chi(e)(")(G) of a graph G is the smallest integer k for which G has a total k-coloring such that the number of vertices and edges in any two color classes differ by at most one. We prove in this paper that chi(e)"(G) less than or equal to 5 if G is a multigraph with maximum degree at most 3.
引用
收藏
页码:677 / 685
页数:9
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