A linear time algorithm for the minimum Weighted Feedback Vertex Set on diamonds

被引：8
|
作者：
Carrabs, F [1 ]
Cerulli, R
Gentili, A
Parlato, G
机构：
[1] Univ Salerno, Dipartimento Matemat & Informat, I-84084 Fisciano, SA, Italy
[2] Univ Salerno, Dipartimento Informat & Applicaz, I-84081 Baronissi, Italy
来源：
INFORMATION PROCESSING LETTERS | 2005年 / 94卷 / 01期
关键词：
graph algorithms; Weighted Feedback Vertex Set; dynamic programming; diamond;
D O I：
10.1016/j.ipl.2004.12.008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Given an undirected and vertex weighted graph G, the Weighted Feedback Vertex Problem (WFVP) consists in finding a subset F subset of V of vertices of minimum weight such that each cycle in G contains at least one vertex in F. The WFVP on general graphs is known to be NP-hard. In this paper we introduce a new class of graphs, namely the diamond graphs, and give a linear time algorithm to solve WFVP on it. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：29 / 35
页数：7
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