Graphs such that All Minimum Dominating Sets Intersect All Maximally Independent Sets

被引：0
|
作者：
Johnson, P. D., Jr. [1 ]
Prier, D. R. [1 ]
机构：
[1] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
来源：
UTILITAS MATHEMATICA | 2012年 / 89卷
关键词：
domination; domination number; independent set; inverse domination number; independence number; INVERSE DOMINATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In earlier work, the connected graphs with the property announced in the title and domination number two were completely characterized. Here we describe infinitely many connected graphs of all domination numbers > 1 with the property, prove a structure theorem about such graphs with domination number three, and show that the smallest connected graph with domination number three and this property is two cycles of length four connected by a path of length two.
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页码：211 / 224
页数：14
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