Title
An Algorithm For Minimum Feedback Vertex Set Problem On A Trapezoid Graph
Abstract
In an undirected graph, the feedback vertex set (FVS for short) problem is to find a set of vertices of minimum cardinality whose removal makes the graph acyclic. The FVS has applications to several areas such that combinatorial circuit design, synchronous systems, computer systems, VLSI circuits and so on. The FVS problem is known to be NP-hard on general graphs but interesting polynomial solutions have been found for some special classes of graphs. In this paper, we present an 0(n(2.68) + gamma n) time algorithm for solving the FVS problem on trapezoid graphs, where gamma is the total number of factors included in all maximal cliques.
Year
DOI
Venue
2011
10.1587/transfun.E94.A.1381
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
design and analysis of algorithms, feedback vertex set, trapezoid graphs, NP-hard
Discrete mathematics,Combinatorics,Vertex (graph theory),Cycle graph,Algorithm,Vertex cover,Pathwidth,Mathematics,Feedback arc set,Feedback vertex set,Trapezoid graph,Maximal independent set
Journal
Volume
Issue
ISSN
E94A
6
0916-8508
Citations 
PageRank 
References 
0
0.34
14
Authors
3
Name
Order
Citations
PageRank
Hirotoshi Honma1309.77
Yutaro Kitamura200.34
Shigeru Masuyama310728.06