ON DOMINATION PROBLEMS FOR PERMUTATION AND OTHER GRAPHS

被引:49
|
作者
BRANDSTADT, A
KRATSCH, D
机构
[1] Friedrich-Schiller Univ Jena, Jena, East Ger, Friedrich-Schiller Univ Jena, Jena, East Ger
关键词
COMPUTER PROGRAMMING - Algorithms;
D O I
10.1016/0304-3975(87)90128-9
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
There is an increasing interest in results on the influence of restricting NP-complete graph problems, to special classes of perfect graphs as, e. g. , permutation graphs. In this paper we give (i) an algorithm with time bound O(n**2) for the weighted independent domination problem on permutation graphs (which is an improvement of the O(n**3) solution; (ii) a polynomial time solution for the weighted feedback vertex set problem on permutation graphs; (iii) an investigation of weighted dominating clique problems for several graph classes including an NP-completeness result for weakly triangulated graphs as well as polynomial time bounds.
引用
收藏
页码:181 / 198
页数:18
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