An improved fixed-parameter algorithm for vertex cover

被引:85
作者
Balasubramanian, R
Fellows, MR
Raman, V
机构
[1] Inst Math Sci, Madras 600113, Tamil Nadu, India
[2] Univ Victoria, Dept Comp Sci, Victoria, BC, Canada
关键词
algorithms; vertex cover; fixed-parameter tractability;
D O I
10.1016/S0020-0190(97)00213-5
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The VERTEX COVER problem asks, for input consisting of a graph G on n vertices, and a positive integer k, whether there is a set of k vertices such that every edge of G is incident with at least one of these vertices. We give an algorithm for this problem that runs in time O(kn + (1.324718)(k)k(2)). In particular, this gives an O((1.324718)(n)n(2)) algorithm to find the minimum vertex cover in the graph. (C) 1998 Published by Elsevier Science B.V.
引用
收藏
页码:163 / 168
页数:6
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