Title
A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries
Abstract
We present a polynomial-time randomized algorithm for estimating the permanent of an arbitrary n × n matrix with nonnegative entries. This algorithm---technically a "fully-polynomial randomized approximation scheme"---computes an approximation that is, with high probability, within arbitrarily small specified relative error of the true value of the permanent.
Year
DOI
Venue
2004
10.1145/1008731.1008738
J. ACM
Keywords
Field
DocType
permanent of a matrix,polynomial-time approximation algorithm,polynomial-time randomized algorithm,markov chain monte carlo,high probability,n matrix,small specified relative error,rapidly mixing markov chains,nonnegative entry,fully-polynomial randomized approximation scheme,true value,arbitrary n
Randomized algorithm,Discrete mathematics,Combinatorics,Markov chain Monte Carlo,Computer science,Matrix (mathematics),Polynomial time approximation algorithm
Journal
Volume
Issue
ISSN
51
4
0004-5411
ISBN
Citations 
PageRank 
1-58113-349-9
300
26.29
References 
Authors
12
3
Search Limit
100300
Name
Order
Citations
PageRank
mark jerrum12755564.62
Alistair Sinclair21506308.40
Eric Vigoda374776.55