Improved algorithms for feedback vertex set problems

被引：84
|
作者：
Chen, Jianer [2 ]
Fomin, Fedor V. [1 ]
Liu, Yang [2 ]
Lu, Songjian [2 ]
Villanger, Yngve [1 ]
机构：
[1] Univ Bergen, Dept Informat, N-5020 Bergen, Norway
[2] Texas A&M Univ, Dept Comp Sci, College Stn, TX 77843 USA
来源：
JOURNAL OF COMPUTER AND SYSTEM SCIENCES | 2008年 / 74卷 / 07期
基金：
美国国家科学基金会;
关键词：
Parameterized complexity; Feedback vertex set;
D O I：
10.1016/j.jcss.2008.05.002
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
We present improved parameterized algorithms for the FEEDBACK VERTEX SET problem on both unweighted and weighted graphs. Both algorithms run in time O(5(k)kn(2)). The algorithms construct a feedback vertex set of size at most k (in the weighted case this set is of minimum weight among the feedback vertex sets of size at most k) in a given graph G of n vertices, or report that no such feedback vertex set exists in G. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：1188 / 1198
页数：11
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