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A Polynomial-Time Algorithm for the Perfect Phylogeny Problem when the Number of Character States Is Fixed (1994) [41 citations — 1 self]

by Richa Agarwala ,  David Fernández-Baca ,  David ,  Fern Andez-baca
SIAM Journal on Computing
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Abstract:

. We present a polynomial-time algorithm for determining whether a set of species, described by the characters they exhibit, has a perfect phylogeny, assuming the maximum number of possible states for a character is fixed. This solves a longstanding open problem. Our result should be contrasted with the proof by Steel and Bodlaender, Fellows, and Warnow that the perfect phylogeny problem is NP-complete in general.

Citations

6121 Introduction to Algorithms – Cormen, Leiserson, et al. - 2001
132 The Complexity of Reconstructing Trees from Qualitative Characters and Subtrees – Steel - 1992
90 Two Strikes against Perfect Phylogeny – Bodlaender, Fellows, et al. - 1992
83 The Steiner problem in phylogeny is NP-complete – Foulds, Graham
83 Efficient Algorithms for Inferring Evolutionary – Gusfield - 1991
68 Phylogenies from molecular sequences: inference and reliability. Annu Rev Genet – Felsenstein - 1988
49 Computational complexity of inferring phylogenies by compatibility, Syst – Day, Sankoff - 1986
29 A Method for Deducing Branching Sequences in Phylogeny – Camin, Sokal - 1965
27 Inferring Evolutionary History from DNA Sequences – Kannan, Warnow - 1994
27 Triangulating vertex colored graphs – McMorris, Warnow, et al. - 1993
18 Convex tree realizations of partitions – Dress, Steel - 1992
15 An idealized concept of the true cladistic character – Estabrook, Jr, et al. - 1975
13 A simple linear time algorithm for triangulating three-colored graphs – Bodlaender, Kloks - 1993
10 Cladistic methodology: a discussion of the theoretical basis for the induction of evolutionary history – Estabrook - 1972
8 Triangulating three-colored graphs – Kannan, Warnow - 1992
7 Fast algorithms for inferring evolutionary trees – Agarwala, Fernandez-Baca, et al. - 1995
7 Quesne, A method of selection of characters in numerical taxonomy – Le - 1969
6 Aspects of Molecular Evolution – Fitch - 1973
5 Quesne, Further studies based on the uniquely derived character concept, Syst – Le - 1972
1 Maximum savings in the Steiner problem in phylogeny – Foulds - 1983