Title
On the random generation and counting of matchings in dense graphs
Abstract
In this work we present a fully randomized approximation scheme for counting the number of perfect matchings in a dense bipartite graphs, that is equivalent to get a fully randomized approximation scheme to the permanent of a dense boolean matrix. We achieve this known solution, through novel extensions in the theory of suitable non-reversible, Markov chains which mix rapidly and have a near-uniform distribution.
Year
DOI
Venue
1998
10.1016/S0304-3975(97)00297-1
Theor. Comput. Sci.
Keywords
DocType
Volume
random generation,dense graph,Markov chains,Approximate counting,Matchings,Random generation
Journal
201
Issue
ISSN
Citations 
1-2
Theoretical Computer Science
0
PageRank 
References 
Authors
0.34
5
3
Name
Order
Citations
PageRank
Josep Díaz1657.03
M. Serna2314.28
P. Spirakis311315.66