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Approximating the balanced minimum evolution problem
Authors:Samuel Fiorini  Gwenaël Joret
Institution:
  • a Université Libre de Bruxelles, Département de Mathématique, Belgium
  • b Université Libre de Bruxelles, Département d’Informatique, Belgium
  • Abstract:We prove a strong inapproximability result for the Balanced Minimum Evolution Problem. Our proof also implies that the problem remains NP-hard even when restricted to metric instances. Furthermore, we give a MST-based 2-approximation algorithm for the problem for such instances.
    Keywords:Approximation algorithm  Phylogenetic tree  Balanced minimum evolution problem
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