A linear-time algorithm for paired-domination problem in strongly chordal graphs

被引：23
|
作者：
Chen, Lei [2 ]
Lu, Changhong [1 ]
Zeng, Zhenbing [2 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[2] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
来源：
INFORMATION PROCESSING LETTERS | 2009年 / 110卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Algorithms; Combinatorial problems; Paired-domination; Domination; Strongly chordal graph; Chordal graph; MATRICES; TREES;
D O I：
10.1016/j.ipl.2009.09.014
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Let G = (V, E) be a simple graph without isolated vertices. A vertex set S subset of V is a paired-dominating set if every vertex in V - S has at least one neighbor in S and the induced subgraph G vertical bar S vertical bar has a perfect matching. In this paper, we present a linear-time algorithm to find a minimum paired-dominating set in strongly chordal graphs if the strong (elimination) ordering of the graph is given in advance. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：20 / 23
页数：4
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