Title
Approximating the Minimum Chain Completion problem
Abstract
A bipartite graph G=(U,V,E) is a chain graph [M. Yannakakis, Computing the minimum fill-in is NP-complete, SIAM J. Algebraic Discrete Methods 2 (1) (1981) 77-79] if there is a bijection @p:{1,...,|U|}-U such that @C(@p(1))@?@C(@p(2))@?...@?@C(@p(|U|)), where @C is a function that maps a node to its neighbors. We give approximation algorithms for two variants of the Minimum Chain Completion problem, where we are given a bipartite graph G(U,V,E), and the goal is find the minimum set of edges F that need to be added to G such that the bipartite graph G^'=(U,V,E^') (E^'=E@?F) is a chain graph.
Year
DOI
Venue
2009
10.1016/j.ipl.2009.05.006
Inf. Process. Lett.
Keywords
Field
DocType
chain graphs,minimum fill-in,min cut,chain graph,approximation algorithm,minimum set,vertex cover,bipartite graph,m. yannakakis,siam j. algebraic discrete,edges f,minimum chain completion problem,max ∞ow,approximation algorithms,max flow
Approximation algorithm,Discrete mathematics,Combinatorics,Algebraic number,Bijection,Vertex (geometry),Bound graph,Bipartite graph,Vertex cover,Maximum flow problem,Mathematics
Journal
Volume
Issue
ISSN
109
17
0020-0190
Citations 
PageRank 
References 
4
0.51
6
Authors
3
Name
Order
Citations
PageRank
Tomás Feder11959184.99
Heikki Mannila265951495.69
Evimaria Terzi3158083.54