Finding All the Perfect Matchings in Bipartite Graphs. Fukuda, K. & Matsui, T. *Applied Mathematics Letters*, 7(1):15--18, January, 1994. Paper doi abstract bibtex This paper describes an algorithm for finding all the perfect matchings in a bipartite graph. By using the binary partitioning method, our algorithm requires O(c(n+m)+n2.5) computational effort and O(nm) memory storage, (where n denotes the number of vertices, m denotes the number of edges, and c denotes the number of perfect matchings in the given bipartite graph).

@article{ Fukuda1994,
abstract = {This paper describes an algorithm for finding all the perfect matchings in a bipartite graph. By using the binary partitioning method, our algorithm requires O(c(n+m)+n2.5) computational effort and O(nm) memory storage, (where n denotes the number of vertices, m denotes the number of edges, and c denotes the number of perfect matchings in the given bipartite graph).},
author = {Fukuda, K. and Matsui, T.},
doi = {10.1016/0893-9659(94)90045-0},
file = {:Users/KunihiroWASA/Dropbox/paper/1994/Fukuda, Matsui, Finding All the Perfect Matchings in Bipartite Graphs, 1994.pdf:pdf},
issn = {08939659},
journal = {Applied Mathematics Letters},
keywords = {Bipartite graph,Enumeration.,Matching},
month = {January},
number = {1},
pages = {15--18},
title = {{Finding All the Perfect Matchings in Bipartite Graphs}},
url = {http://www.sciencedirect.com/science/article/pii/0893965994900450 http://linkinghub.elsevier.com/retrieve/pii/0893965994900450},
volume = {7},
year = {1994}
}

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