A polynomial time algorithm for calculating the probability of a ranked gene tree given a species tree
Populations and Evolution
2012-03-02 v1
Abstract
In this paper, we provide a polynomial time algorithm to calculate the probability of a {\it ranked} gene tree topology for a given species tree, where a ranked tree topology is a tree topology with the internal vertices being ordered. The probability of a gene tree topology can thus be calculated in polynomial time if the number of orderings of the internal vertices is a polynomial number. However, the complexity of calculating the probability of a gene tree topology with an exponential number of rankings for a given species tree remains unknown.
Keywords
Cite
@article{arxiv.1203.0204,
title = {A polynomial time algorithm for calculating the probability of a ranked gene tree given a species tree},
author = {Tanja Stadler and James H. Degnan},
journal= {arXiv preprint arXiv:1203.0204},
year = {2012}
}