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

页码：1188 / 1198

页数：11

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