Distribution of the symmetric difference metric on phylogenetic trees
SIAM Journal on Discrete Mathematics
Metrics on Multilabeled Trees: Interrelationships and Diameter Bounds
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
A metric for phylogenetic trees based on matching
ISBRA'11 Proceedings of the 7th international conference on Bioinformatics research and applications
A Metric for Phylogenetic Trees Based on Matching
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
A robinson-foulds measure to compare unrooted trees with rooted trees
ISBRA'12 Proceedings of the 8th international conference on Bioinformatics Research and Applications
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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.