On the complexity of signed and minus total domination in graphs

被引：9
|
作者：
Lee, Chuan-Min
机构：
[1] Department of Computer and Communication Engineering, Ming Chuan University, Guishan District, Taoyuan County 333
来源：
INFORMATION PROCESSING LETTERS | 2009年 / 109卷 / 20期
关键词：
Graph algorithms; Minus total dominating functions; Signed total dominating functions; Chordal bipartite graphs; Doubly chordal graphs; NUMBER;
D O I：
10.1016/j.ipl.2009.08.002
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we present unified methods to solve the minus and signed total domination problems for chordal bipartite graphs and trees in O(n(2)) and O(n + m) time, respectively. We also prove that the decision problem for the signed total domination problem on doubly chordal graphs is NP-complete. Note that bipartite permutation graphs, biconvex bipartite graphs, and convex bipartite graphs are subclasses of chordal bipartite graphs. (c) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：1177 / 1181
页数：5
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