Distorted Metrics on Trees and Phylogenetic Forests

  • Authors:
  • Elchanan Mossel

  • Affiliations:
  • -

  • Venue:
  • IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
  • Year:
  • 2007

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Abstract

We study distorted metrics on binary trees in the context of phylogenetic reconstruction. Given a binary tree T on n leaves with a path metric d, consider the pairwise distances {d(u,v)} between leaves. It is well known that these determine the tree and the d length of all edges. Here, we consider distortions $\hat{d}$ of d such that, for all leaves u and v, it holds that $|d(u,v) - \hat{d}(u,v)|