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Applications of Sinkhorn Balancingto Counting Problems

Published

Author(s)

Isabel M. Beichl, F Sullivan

Abstract

We describe a gneral Monte Carlo technique based on work of Knuth for estimating the size of trees in backtrack algorithms. This method, based on importance sampling, is used to estimate the number of partial and complete matchings in a bipartite graph. Applications to the dimmer covering problem and the monomer-dimer problem are detailed.
Proceedings Title
Modern Analysis and Probability: Stochastic Processes and Functional Analysis, Conference ||| Marcel Dekker
Volume
238
Conference Dates
November 1, 2002
Conference Title
Lecture Notes in Pure and Applied Mathematics

Keywords

algorithms, graph theory, importance sampling, Monte Carlo methods, probability, sampling methods, stochastic matrices

Citation

Beichl, I. and Sullivan, F. (2004), Applications of Sinkhorn Balancingto Counting Problems, Modern Analysis and Probability: Stochastic Processes and Functional Analysis, Conference ||| Marcel Dekker (Accessed July 19, 2024)

Issues

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Created July 1, 2004, Updated February 17, 2017