On Nakhleh's Metric for Reduced Phylogenetic Networks

  • Authors:
  • Gabriel Cardona;Merce Llabres;Francesc Rossello;Gabriel Valiente

  • Affiliations:
  • University of the Balearic Islands, Palma de-Mallorca;University of the Balearic Islands, Palma de-Mallorca;University of the Balearic Islands, Palma de-Mallorca;Technical University of Catalonia, Barcelona

  • Venue:
  • IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
  • Year:
  • 2009

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Abstract

We prove that Nakhleh's metric for reduced phylogenetic networks is also a metric on the classes of tree-child phylogenetic networks, semibinary tree-sibling time consistent phylogenetic networks, and multilabeled phylogenetic trees. We also prove that it separates distinguishable phylogenetic networks. In this way, it becomes the strongest dissimilarity measure for phylogenetic networks available so far. Furthermore, we propose a generalization of that metric that separates arbitrary phylogenetic networks.