Fixed-parameter tractability of the maximum agreement supertree problem

  • Authors:
  • Sylvain Guillemot;Vincent Berry

  • Affiliations:
  • Equipe Méthodes et Algorithmes pour la Bioinformatique, LIRMM, Univ. Montpellier - CNRS;Equipe Méthodes et Algorithmes pour la Bioinformatique, LIRMM, Univ. Montpellier - CNRS

  • Venue:
  • CPM'07 Proceedings of the 18th annual conference on Combinatorial Pattern Matching
  • Year:
  • 2007

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Abstract

Given a ground set L of labels and a collection of trees whose leaves are bijectively labelled by some elements of L, the Maximum Agreement Supertree problem (SMAST) is the following: find a tree T on a largest label set L′ ⊆ L that homeomorphically contains every input tree restricted to L′. The problem finds applications in several fields, e.g. phylogenetics. In this paper we focus on the parameterized complexity of this NP-hard problem. We consider different combinations of parameters for SMAST as well as particular cases, providing both FPT algorithms and intractability results.