Title |
Computing the skewness of the phylogenetic mean pairwise distance in linear time
|
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Published in |
Algorithms for Molecular Biology, June 2014
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DOI | 10.1186/1748-7188-9-15 |
Pubmed ID | |
Authors |
Constantinos Tsirogiannis, Brody Sandel |
Abstract |
The phylogenetic Mean Pairwise Distance (MPD) is one of the most popular measures for computing the phylogenetic distance between a given group of species. More specifically, for a phylogenetic tree [Formula: see text] and for a set of species R represented by a subset of the leaf nodes of [Formula: see text], the MPD of R is equal to the average cost of all possible simple paths in [Formula: see text] that connect pairs of nodes in R. Among other phylogenetic measures, the MPD is used as a tool for deciding if the species of a given group R are closely related. To do this, it is important to compute not only the value of the MPD for this group but also the expectation, the variance, and the skewness of this metric. Although efficient algorithms have been developed for computing the expectation and the variance the MPD, there has been no approach so far for computing the skewness of this measure. |
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