A Lower Bound for the Breakpoint Phylogeny Problem

  • David Bryant
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1848)


Breakpoint phylogenies methods have been shown to be an effective way to extract phylogenetic information from gene order data. Currently, the only practical breakpoint phylogeny algorithms for the analysis of large genomes with varied gene content are heuristics with no optimality guarantee. Here we address this shortcoming by describing new bounds for the breakpoint median problem, and for the more complicated breakpoint phylogeny problem. In both cases we employ Lagrangian multipliers and subgradient optimization to tighten the bounds. The experimental results are promising: we achieve lower bounds close to the upper bounds established using breakpoint phylogeny heuristics.


Travel Salesman Problem Travel Salesman Problem Steiner Point Breakpoint Distance Subgradient Optimization 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • David Bryant
    • 1
  1. 1.CRM Université de MontréalMontréal

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