On a Vizing-like conjecture for direct product graphs

被引：15
|
作者：
Klavzar, S [1 ]
Zmazek, B [1 ]
机构：
[1] UNIV MARIBOR,PEF,DEPT MATH,MARIBOR 2000,SLOVENIA
来源：
DISCRETE MATHEMATICS | 1996年 / 156卷 / 1-3期
关键词：
D O I：
10.1016/0012-365X(96)00032-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let gamma(G) be the domination number of a graph G, and let G x H be the direct product of graphs G and H. It is shown that for any k greater than or equal to 0 there exists a graph G such that gamma(G x C) less than or equal to gamma(G)(2) - k. This in particular disproves a conjecture from [5].
引用
收藏
页码：243 / 246
页数：4
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