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A note on a conjecture on maximum matching in almost regular graphs
Authors:C. Picouleau
Affiliation:
  • Conservatoire National des Arts et Métiers, CEDRIC Laboratory, Paris, France
  • 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.
    Keywords:Bipartite graph   Matching   Regular graph
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