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Matchings in graphs of odd regularity and girth
Authors:Vitor Costa  Simone Dantas  Dieter Rautenbach
Affiliation:1. Instituto de Matemática e Estatística, Universidade Federal Fluminense, Niterói, RJ, Brazil;2. Institute of Optimization and Operations Research, University of Ulm, Ulm, Germany
Abstract:We establish lower bounds on the matching number of graphs of given odd regularity dd and odd girth gg, which are sharp for many values of dd and gg. For d=g=5d=g=5, we characterize all extremal graphs.
Keywords:Matching   Regular graph   Odd girth
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