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Matchings in regular graphs
Authors:D. Naddef  W.R. Pulleyblank
Affiliation:I.R.M.A., Université Scientifique et Médicale de Grenoble, France;Department of Computer science, The University of Calgary, Canada
Abstract:
We consider k-regular graphs with specified edge connectivity and show how some classical theorems and some new results concerning the existence of matchings in such graphs can be proved by using the polyhedral characterization of Edmonds. In addition, we show that lower bounds of Lovász and Plummer on the number of perfect matchings in bicritical graphs can be improved for cubic bicritical graphs.
Keywords:
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