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arXiv · 0911.4626

A characterization of Konig-Egervary graphs using a common property of all maximum matchings

Vadim E. Levit·Eugen Mandrescu
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Abstract

The independence number of a graph G, denoted by alpha(G), is the cardinality of an independent set of maximum size in G, while mu(G) is the size of a maximum matching in G, i.e., its matching number. G is a Konig-Egervary graph if its order equals alpha(G)+mu(G). In this paper we give a new characterization of Konig-Egervary graphs. We also deduce some properties of vertices belonging to all maximum independent sets of a Konig-Egervary graph.

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Vadim E. Levit, Eugen Mandrescu. 2009-11-24. A characterization of Konig-Egervary graphs using a common property of all maximum matchings. https://arxiv.org/abs/0911.4626

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