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Computing the distribution of a tree metric.
- Source :
-
IEEE/ACM transactions on computational biology and bioinformatics [IEEE/ACM Trans Comput Biol Bioinform] 2009 Jul-Sep; Vol. 6 (3), pp. 420-6. - Publication Year :
- 2009
-
Abstract
- The Robinson-Foulds (RF) distance is by far the most widely used measure of dissimilarity between trees. Although the distribution of these distances has been investigated for 20 years, an algorithm that is explicitly polynomial time has yet to be described for computing the distribution for trees around a given tree. In this paper, we derive a polynomial-time algorithm for this distribution. We show how the distribution can be approximated by a Poisson distribution determined by the proportion of leaves that lie in "cherries" of the given tree. We also describe how our results can be used to derive normalization constants that are required in a recently proposed maximum likelihood approach to supertree construction.
- Subjects :
- Poisson Distribution
Algorithms
Models, Genetic
Phylogeny
Subjects
Details
- Language :
- English
- ISSN :
- 1557-9964
- Volume :
- 6
- Issue :
- 3
- Database :
- MEDLINE
- Journal :
- IEEE/ACM transactions on computational biology and bioinformatics
- Publication Type :
- Academic Journal
- Accession number :
- 19644170
- Full Text :
- https://doi.org/10.1109/TCBB.2009.32