Independent domination and matchings in graphs

  • Authors:
  • Dieter Rautenbach;Lutz Volkmann

  • Affiliations:
  • Equipe Combinatoire, Université Paris 6, 175 rue du Chevaleret, 75013 Paris, France and Lehrstuhl II für Mathematik, RWTH-Aachen, 52056 Aachen, Germany;Lehrstuhl II für Mathematik, RWTH-Aachen, 52056 Aachen, Germany

  • Venue:
  • Discrete Mathematics
  • Year:
  • 2002
  • Well-covered graphs and factors

    Discrete Applied Mathematics - Special issue: 2nd cologne/twente workshop on graphs and combinatorial optimization (CTW 2003)

  • Well-covered graphs and factors

    Discrete Applied Mathematics - Special issue: 2nd cologne/twente workshop on graphs and combinatorial optimization (CTW 2003)

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Abstract

If G is a graph of order n, independent domination number i and matching number α0, then i + α0 ≤ n. We characterize all graphs for which equality holds in this inequality and show that this class can be recognized in polynomial time.