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- Arnau Mir, Francesc Rosselló, Lucia Rotger
- Mathematical biosciences
- 2013

Several indices that measure the degree of balance of a rooted phylogenetic tree have been proposed so far in the literature. In this work we define and study a new index of this kind, which we call the total cophenetic index: the sum, over all pairs of different leaves, of the depth of their lowest common ancestor. This index makes sense for arbitrary… (More)

- Gabriel Cardona, Arnau Mir, Francesc Rosselló, Lucia Rotger, David Sanchez
- BMC Bioinformatics
- 2012

Phylogenetic tree comparison metrics are an important tool in the study of evolution, and hence the definition of such metrics is an interesting problem in phylogenetics. In a paper in Taxon fifty years ago, Sokal and Rohlf proposed to measure quantitatively the difference between a pair of phylogenetic trees by first encoding them by means of their… (More)

Proofs of Propositions 1–4 Proof of Proposition 1 By Lemma 1, it is enough to prove that the minimum non-zero value ofD0 is 1, and that all pairs T, T ′ ∈ UT n such that D0(T, T ′) = 1 also satisfy that Dp(T, T ′) = 1 for every p > 1. As we have seen in Example 2, if we contract a pendant arc in a tree T , we obtain a new tree T ′ such that Dp(T, T ′) = 1,… (More)

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