Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tripartitions do not always discriminate phylogenetic networks   Phylogenetic 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.

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The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph