Locating a Tree in a Phylogenetic Network in Quadratic Time

Abstract : A fundamental problem in the study of phylogenetic networks is to determine whether or not a given phylogenetic network contains a given phylogenetic tree. We develop a quadratic-time algorithm for this problem for binary nearly-stable phylogenetic networks. We also show that the number of reticulations in a reticulation visible or nearly stable phylogenetic network is bounded from above by a function linear in the number of taxa.
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RECOMB 2015, Apr 2015, Varsovie, Poland. Springer, Proceedings of the 19th Annual International Conference on Research in Computational Molecular Biology, 9029, pp.96-107, 2015, LNCS. 〈10.1007/978-3-319-16706-0_12〉
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Philippe Gambette, Andreas D.M. Gunawan, Anthony Labarre, Stéphane Vialette, Louxin Zhang. Locating a Tree in a Phylogenetic Network in Quadratic Time. RECOMB 2015, Apr 2015, Varsovie, Poland. Springer, Proceedings of the 19th Annual International Conference on Research in Computational Molecular Biology, 9029, pp.96-107, 2015, LNCS. 〈10.1007/978-3-319-16706-0_12〉. 〈hal-01116231〉

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