Paired domination in graphs: A survey and recent results

被引:0
作者
Desormeaux, Wyatt J. [1 ]
Henning, Michael A. [1 ]
机构
[1] Univ Johannesburg, Dept Math, ZA-2006 Auckland Pk, South Africa
基金
新加坡国家研究基金会;
关键词
Paired dominating set; paired domination number; matching number; FREE CUBIC GRAPHS; CLAW-FREE GRAPHS; PERMUTATION GRAPHS; TIME ALGORITHM; PLANAR GRAPHS; UPPER-BOUNDS; TREES; NUMBER; PARAMETERS; DIAMETER;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A set S of vertices in a graph G is a paired dominating set if every vertex of G is adjacent to a vertex in S and the subgraph induced by S contains a perfect matching (not necessarily as an induced subgraph). The minimum cardinality of a paired dominating set of G is the paired domination number of G. This paper presents a survey of selected results on paired domination through 2013.
引用
收藏
页码:101 / 166
页数:66
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