Leo van Iersel and
Simone Linz. A quadratic kernel for computing the hybridization number of multiple trees. In IPL, Vol. 113:318-323, 2013. Keywords: explicit network, FPT, from rooted trees, kernelization, minimum number, phylogenetic network, phylogeny, Program Clustistic, Program MaafB, Program PIRN, reconstruction. Note: http://arxiv.org/abs/1203.4067, poster.
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"It has recently been shown that the NP-hard problem of calculating the minimum number of hybridization events that is needed to explain a set of rooted binary phylogenetic trees by means of a hybridization network is fixed-parameter tractable if an instance of the problem consists of precisely two such trees. In this paper, we show that this problem remains fixed-parameter tractable for an arbitrarily large set of rooted binary phylogenetic trees. In particular, we present a quadratic kernel. © 2013 Elsevier B.V."
@Article{IerselLinz2013,
AUTHOR = {van Iersel, Leo and Linz, Simone},
TITLE = {A quadratic kernel for computing the hybridization number of multiple trees},
YEAR = {2013},
JOURNAL = {IPL},
VOLUME = {113},
PAGES = {318-323},
URL = {http://dx.doi.org/10.1016/j.ipl.2013.02.010},
NOTE = { http://arxiv.org/abs/1203.4067, poster},
KEYWORDS = {explicit network, FPT, from rooted trees, kernelization, minimum number, phylogenetic network, phylogeny, Program Clustistic, Program MaafB, Program PIRN, reconstruction} }
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