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[CDP07] Bicolored matchings in some classes of graphsRevue Internationale avec comité de lecture : Journal Graphs and Combinatorics, vol. 23, pp. 47-60, 2007, (doi:10.1007/s00373-006-0686-8)
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We consider the problem of finding in a graph a set R of edges to be colored in red so that there are maximum matchings having some prescribed numbers of red edges. For regular bipartite graphs with n nodes on each side, we give sufficient conditions for the existence of a set R with |R|=n+1 such that perfect matchings with k red edges exist for all k,0≤k≤n. Given two integers p
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