Maximum independent sets in subclasses of P5-free graphs

  • Authors:
  • Vadim Lozin;Raffaele Mosca

  • Affiliations:
  • DIMAP and Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK;Dipartimento di Scienze, Universitá degli Studi “G. D'Annunzio”, Viale Pindaro 42, Pescara 65127, Italy

  • Venue:
  • Information Processing Letters
  • Year:
  • 2009

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Abstract

The class of P"5-free graphs is the unique minimal class defined by a single connected forbidden induced subgraph for which the complexity status of the maximum independent set problem is unknown. In this paper, we prove polynomial-time solvability of the problem in two subclasses of P"5-free graphs generalizing several previously known results.