Stefan Grünewald,
Vincent Moulton and
Andreas Spillner. Consistency of the QNet algorithm for generating planar split networks from weighted quartets. In DAM, Vol. 157(10):2325-2334, 2009. Keywords: abstract network, consistency, from quartets, phylogenetic network, phylogeny, Program QNet, reconstruction, software. Note: http://dx.doi.org/10.1016/j.dam.2008.06.038.
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"Phylogenetic networks are a generalization of evolutionary or phylogenetic trees that allow the representation of conflicting signals or alternative evolutionary histories in a single diagram. Recently the Quartet-Net or "QNet" method was introduced, a method for computing a special kind of phylogenetic network called a split network from a collection of weighted quartet trees (i.e. phylogenetic trees with 4 leaves). This can be viewed as a quartet analogue of the distance-based Neighbor-Net (NNet) method for constructing outer-labeled planar split networks. In this paper, we prove that QNet is a consistent method, that is, we prove that if QNet is applied to a collection of weighted quartets arising from a circular split weight function, then it will return precisely this function. This key property of QNet not only ensures that it is guaranteed to produce a tree if the input corresponds to a tree, and an outer-labeled planar split network if the input corresponds to such a network, but also provides the main guiding principle for the design of the method. © 2008 Elsevier B.V. All rights reserved."
@Article{GMS2009,
AUTHOR = {Gr{\~A}newald, Stefan and Moulton, Vincent and Spillner, Andreas},
TITLE = {Consistency of the QNet algorithm for generating planar split networks from weighted quartets},
YEAR = {2009},
JOURNAL = {DAM},
VOLUME = {157},
NUMBER = {10},
PAGES = {2325-2334},
URL = {http://dx.doi.org/10.1016/j.dam.2008.06.038},
NOTE = { http://dx.doi.org/10.1016/j.dam.2008.06.038},
ANNOTE = {CITE : },
KEYWORDS = {abstract network, consistency, from quartets, phylogenetic network, phylogeny, Program QNet, reconstruction, software} }
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