On incidence coloring for some cubic graphs

被引：25
|
作者：
Shiu, WC [1 ]
Lam, PCB [1 ]
Chen, DL [1 ]
机构：
[1] Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
DISCRETE MATHEMATICS | 2002年 / 252卷 / 1-3期
关键词：
cubic graph; incidence coloring; restrained decomposition;
D O I：
10.1016/S0012-365X(01)00457-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In 1993, Brualdi and Massey conjectured that every graph can be incidence-colored with Delta+2 colors, where Delta is the maximum degree of a graph. Although this conjecture was solved in the negative by an example in I. Algor and N. Alon (Discrete Math. 75 (1989) 11) it might hold for some special classes of graphs. In this paper, we consider graphs with maximum degree Delta = 3 and show that the conjecture holds for cubic Hamiltonian graphs and some other cubic graphs. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：259 / 266
页数：8
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