Title
A linear time algorithm for the minimum weighted feedback vertex set on diamonds
Abstract
Given an undirected and vertex weighted graph G, the Weighted Feedback Vertex Problem (WFVP) consists in finding a subset F ⊆ 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.
Year
DOI
Venue
2005
10.1016/j.ipl.2004.12.008
Inf. Process. Lett.
Keywords
Field
DocType
general graph,linear time algorithm,new class,minimum weight,minimum weighted feedback vertex,diamond graph,subset f,weighted feedback vertex problem,vertex weighted graph,dynamic programming,diamond,feedback vertex set
Discrete mathematics,Combinatorics,Indifference graph,Vertex (graph theory),Chordal graph,Neighbourhood (graph theory),Algorithm,Cycle graph,Vertex cover,Feedback vertex set,Mathematics,Maximal independent set
Journal
Volume
Issue
ISSN
94
1
0020-0190
Citations 
PageRank 
References 
3
0.40
5
Authors
4
Name
Order
Citations
PageRank
F. Carrabs161.14
R. Cerulli225223.85
M. Gentili3323.35
G. Parlato461.49