Phylogenetic trees and k-dissimilarity maps
Seminar Room 1, Newton Institute
AbstractPhylogenetic trees are versatile tools in the analysis of sequence data. Several approaches exist to construct such trees from data using metrics or distances, and the Tree Metric Theorem of Dress gives an explicit condition when such a metric defines a tree. More recently, (see, e.g., Levy, Yoshida and Pachter [Mol. Biol. Evol. 23(3):491–498. 2006]), it was suggested to use the phylogenetic diversity not of pairs, but of triplets, quartets or, in general, k-tuples, to construct trees from the given data. Maps assigning values to such k-tuples of taxa as opposed to pairs are called k-dissimilarity maps. In this talk, we will analyse when such k-dissimilarity maps correspond to trees and give generalisations of the Tree Metric Theorem. This is joint works with Katharina Huber, Vincent Moulton and Andreas Spillner.
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