On the acyclic chromatic number of Hamming graphs

被引：5
|
作者：
Jamison, Robert E. [1 ]
Matthews, Gretchen L. [1 ]
机构：
[1] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA
来源：
GRAPHS AND COMBINATORICS | 2008年 / 24卷 / 04期
关键词：
acyclic coloring; Cartesian product of graphs; distance; 2; coloring; Hamming graph;
D O I：
10.1007/s00373-008-0798-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An acyclic coloring of a graph G is a proper coloring of the vertex set of G such that G contains no bichromatic cycles. The acyclic chromatic number of a graph G is the minimum number k such that G has an acyclic coloring with k colors. In this paper, acyclic colorings of Hamming graphs, products of complete graphs, are considered. Upper and lower bounds on the acyclic chromatic number of Hamming graphs are given.
引用
收藏
页码：349 / 360
页数：12
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