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On Nakhleh's metric for reduced phylogenetic networks
Gabriel Cardona1, Mercè Llabrés, Francesc Rosselló
1Department of Mathematics and Computer Science, University of the Balearic Islands, E-07122 Palma de-Mallorca, Spain. gabriel.cardona
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.
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