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On contract-and-refine transformations between phylogenetic trees

Published:11 January 2004Publication History

ABSTRACT

The inference of evolutionary trees using approaches which attempt to solve the maximum parsimony (MP) and maximum likelihood (ML) optimization problems is a standard part of much of biological data analysis. However, both problems are hard to solve: MP provably NP-hard, and ML even harder in practice. Consequently, hill-climbing heuristics are used to analyze datasets for phylogeny reconstruction. Two primary topological transformations have been used in the most popular heuristics: TBR (tree-bisection-and-reconnection) and ECR (edge-contractions-and-refinements). While most of the popular heuristics exclusively use TBR moves to explore tree space, some recent methods have used ECR in conjunction with TBR and found significant improvements in the speed and accuracy with which they can analyze datasets. In this paper we analyze ECR moves in detail, and provide results on the diameter of the tree space, the neighborhood intersection with TBR, structural analysis of the ECR operation, and an efficient method for sampling uniformly from the 2-ECR neighborhood of a tree. Our results should lead to a better understanding of the impact of ECR moves on the performance of heuristic searches.

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  1. On contract-and-refine transformations between phylogenetic trees

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    • Published in

      cover image ACM Conferences
      SODA '04: Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
      January 2004
      1113 pages
      ISBN:089871558X

      Publisher

      Society for Industrial and Applied Mathematics

      United States

      Publication History

      • Published: 11 January 2004

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      Overall Acceptance Rate411of1,322submissions,31%

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