Tripartitions do not always discriminate phylogenetic networks

dc.creatorCardona, Gabriel
dc.creatorRossello, Francesc
dc.creatorValiente, Gabriel
dc.date2007-07-16
dc.date.accessioned2026-07-07T08:18:34Z
dc.date.available2026-07-07T08:18:34Z
dc.descriptionPhylogenetic networks are a generalization of phylogenetic trees that allow for the representation of non-treelike evolutionary events, like recombination, hybridization, or lateral gene transfer. In a recent series of papers devoted to the study of reconstructibility of phylogenetic networks, Moret, Nakhleh, Warnow and collaborators introduced the so-called {tripartition metric for phylogenetic networks. In this paper we show that, in fact, this tripartition metric does not satisfy the separation axiom of distances (zero distance means isomorphism, or, in a more relaxed version, zero distance means indistinguishability in some specific sense) in any of the subclasses of phylogenetic networks where it is claimed to do so. We also present a subclass of phylogenetic networks whose members can be singled out by means of their sets of tripartitions (or even clusters), and hence where the latter can be used to define a meaningful metric.
dc.description26 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0707.2376
dc.identifierhttp://arxiv.org/abs/0707.2376
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134480
dc.subjectPopulations and Evolution
dc.subjectComputational Engineering, Finance, and Science
dc.subjectDiscrete Mathematics
dc.titleTripartitions do not always discriminate phylogenetic networks
dc.typetext

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