A note on a conjecture on maximum matching in almost regular graphs |
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Authors: | C. Picouleau |
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Affiliation: | Conservatoire National des Arts et Métiers, CEDRIC Laboratory, Paris, France |
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Abstract: | Mkrtchyan, Petrosyan, and Vardanyan made the following conjecture: Every graph G with Δ(G)−δ(G)≤1 has a maximum matching whose unsaturated vertices do not have a common neighbor. We disprove this conjecture. |
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Keywords: | Bipartite graph Matching Regular graph |
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