Note: On maximum matchings in König-Egerváry graphs

  • Authors:
  • Vadim E. Levit;Eugen Mandrescu

  • Affiliations:
  • Ariel University Center of Samaria, Israel;Holon Institute of Technology, Israel

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2013

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Abstract

For a graph G let @a(G),@m(G), and @t(G) denote its independence number, matching number, and vertex cover number, respectively. If @a(G)+@m(G)=|V(G)| or, equivalently, @m(G)=@t(G), then G is a Konig-Egervary graph. In this paper we give a new characterization of Konig-Egervary graphs.