The mean value of the squared path-difference distance for rooted phylogenetic trees
Populations and Evolution
2009-06-16 v1 Discrete Mathematics
Classical Analysis and ODEs
Quantitative Methods
Abstract
The path-difference metric is one of the oldest distances for the comparison of fully resolved phylogenetic trees, but its statistical properties are still quite unknown. In this paper we compute the mean value of the square of the path-difference metric between two fully resolved rooted phylogenetic trees with leaves, under the uniform distribution. This complements previous work by Steel and Penny, who computed this mean value for fully resolved unrooted phylogenetic trees.
Keywords
Cite
@article{arxiv.0906.2470,
title = {The mean value of the squared path-difference distance for rooted phylogenetic trees},
author = {Arnau Mir and Francesc Rossello},
journal= {arXiv preprint arXiv:0906.2470},
year = {2009}
}
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16 pages