THE COMPLEXITY OF HARMONIOUS COLORING FOR TREES

被引:37
作者
EDWARDS, K [1 ]
MCDIARMID, C [1 ]
机构
[1] UNIV OXFORD,DEPT STAT,OXFORD OX1 3TG,ENGLAND
关键词
D O I
10.1016/0166-218X(94)00100-R
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colours appears together on at most one edge. The harmonious chromatic number h(G) is the least number of colours in such a colouring. It was shown by Hopcroft and Krishnamoorthy (1983) that the problem of determining the harmonious chromatic number of a graph is NP-hard. We show here that the problem remains hard even when restricted to trees.
引用
收藏
页码:133 / 144
页数:12
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