Geodesic
Group weighted matchings in bipartite graphs
Journal of Algebraic Combinatorics, Tome 4 (1995) no. 2, pp. 165-171.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $G$ be a bipartite graph with bicoloration ${ A, B}, | A| = | B|$, and let $w : E( G) w( S)$ = Õ $_{ e \~I S} w( e) w(S) = \prod $_e $\in S} w(e)$ . A Perfect matching $M$ Ĩ $\in A$, then either $G$ has no $w$-matchings, or $G$ has at least $( d - 1)! w$-matchings.
Keywords: bipartite matching, abelian group 
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     author = {Aharoni, R. and Meshulam, R. and Wajnryb, B.},
     title = {Group weighted matchings in bipartite graphs},
     journal = {Journal of Algebraic Combinatorics},
     pages = {165--171},
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     year = {1995},
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     url = {http://geodesic.mathdoc.fr/item/JAC_1995__4_2_a1/}
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Aharoni, R.; Meshulam, R.; Wajnryb, B. Group weighted matchings in bipartite graphs. Journal of Algebraic Combinatorics, Tome 4 (1995) no. 2, pp. 165-171. http://geodesic.mathdoc.fr/item/JAC_1995__4_2_a1/