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2005
Springer

Reconstructing an Ultrametric Galled Phylogenetic Network from a Distance Matrix

11 years 11 months ago
Reconstructing an Ultrametric Galled Phylogenetic Network from a Distance Matrix
Abstract. Given a distance matrix M that specifies the pairwise evolutionary distances between n species, the phylogenetic tree reconstruction problem asks for an edge-weighted phylogenetic tree that satisfies M, if one exists. We study some extensions of this problem to rooted phylogenetic networks. Our main result is an O(n2 log n)-time algorithm for determining whether there is an ultrametric galled network that satisfies M, and if so, constructing one. In fact, if such an ultrametric galled network exists, our algorithm is guaranteed to construct one containing the minimum possible number of nodes with more than one parent (hybrid nodes). We also prove that finding a largest possible submatrix M′ of M such that there exists an ultrametric galled network that satisfies M′ is NP-hard. Furthermore, we show that given an incomplete distance matrix (i.e., where some matrix entries are missing), it is also NP-hard to determine whether there exists an ultrametric galled network w...
Ho-Leung Chan, Jesper Jansson, Tak Wah Lam, Siu-Mi
Added 28 Jun 2010
Updated 28 Jun 2010
Type Conference
Year 2005
Where MFCS
Authors Ho-Leung Chan, Jesper Jansson, Tak Wah Lam, Siu-Ming Yiu
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