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Phylogenetic Trees Lecture 2

Phylogenetic Trees Lecture 2. Based on: Durbin et al Section 7.3, 7.4, 7.8. The Four Points Condition. Theorem: A set M of L objects is additive iff any subset of four objects can be labeled i,j,k,l so that: d ( i,k ) + d ( j,l ) = d ( i,l ) + d ( k,j ) ≥ d ( i,j ) + d ( k,l )

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Phylogenetic Trees (2) Lecture 12

Phylogenetic Trees (2) Lecture 12. Based on: Durbin et al Section 7.3, 7.8, Gusfield: Algorithms on Strings, Trees, and Sequences Section 17. Recall: The Four Points Condition. Theorem: A set M of L objects is additive iff any subset of four objects can be labeled i,j,k,l so that:

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Ultrametric phylogenies

Ultrametric phylogenies. By Sivan Yogev Based on Chapter 11 from “Inferring Phylogenies” by J. Felsenstein. Introduction – additive trees. In the last lecture we saw the concept of distance based phylogenetic trees d(i,j) is the distance between the objects indexed i and j

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