Fixed-parameter algorithm for general pedigrees with a single pair of sites

  • Authors:
  • Duong D. Doan;Patricia A. Evans

  • Affiliations:
  • Faculty of Computer Science, University of New Brunswick, Fredericton, New Brunswick, Canada;Faculty of Computer Science, University of New Brunswick, Fredericton, New Brunswick, Canada

  • Venue:
  • ISBRA'10 Proceedings of the 6th international conference on Bioinformatics Research and Applications
  • Year:
  • 2010

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Abstract

The problem of computing the minimum number of recombination events for general pedigrees with two sites for all members is investigated. We show that this NP-hard problem can be parametrically reduced to the Bipartization by Edge Removal problem and therefore can be solved by an O(2k ·n2) exact algorithm, where n is the number of members and k is the number of recombination events.