Inferring evolutionary trees with strong combinatorial evidence
UNSPECIFIED (2000) Inferring evolutionary trees with strong combinatorial evidence. In: 3rd Annual International Computing and Combinatorics Conference (COCOON 97), AUG 20-22, 1997, SHANGHAI, PEOPLES R CHINA.Full text not available from this repository.
We consider the problem of inferring the evolutionary tree of a set of n species. We propose a quartet reconstruction method which specifically produces trees whose edges have strong combinatorial evidence. Let Q be a set of resolved quartets defined on the studied species, the method computes the unique maximum subset Q* of Q which is equivalent to a tree and outputs the corresponding tree as an estimate of the species' phylogeny. We use a characterization of the subset Q* due to Bandelt and Dress (Adv. Appl. Math. 7 (1986) 309-343) to provide an O(n(4)) incremental algorithm for this variant of the NP-hard quartet consistency problem. Moreover, when chosing the resolution of the quartets by the four-Point method (FPM) and considering the Cavender-Farris model of evolution, we show that the convergence rate of the Q* method is at worst polynomial when the maximum evolutive distance between two species is bounded. We complete these theoretical results by an experimental study on real and simulated data sets. The results show that (i) as expected, the strong combinatorial constraints it imposes on each edge leads the Q* method to propose very few incorrect edges; (ii) more surprisingly; the method infers trees with a relatively high degree of resolution. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
|Item Type:||Conference Item (UNSPECIFIED)|
|Subjects:||Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software|
|Journal or Publication Title:||THEORETICAL COMPUTER SCIENCE|
|Publisher:||ELSEVIER SCIENCE BV|
|Date:||17 June 2000|
|Number of Pages:||28|
|Page Range:||pp. 271-298|
|Title of Event:||3rd Annual International Computing and Combinatorics Conference (COCOON 97)|
|Location of Event:||SHANGHAI, PEOPLES R CHINA|
|Date(s) of Event:||AUG 20-22, 1997|
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