Multi-break rearrangements and chromosomal evolution

  • Authors:
  • Max A. Alekseyev;Pavel A. Pevzner

  • Affiliations:
  • Department of Computer Science and Engineering, University of California at San Diego, La Jolla, CA 92093-0114, USA;Department of Computer Science and Engineering, University of California at San Diego, La Jolla, CA 92093-0114, USA

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2008

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Abstract

Most genome rearrangements (e.g., reversals and translocations) can be represented as 2-breaks that break a genome at 2 points and glue the resulting fragments in a new order. Multi-break rearrangements break a genome into multiple fragments and further glue them together in a new order. While multi-break rearrangements were studied in depth for k=2 breaks, the k-break distance problem for arbitrary k remains unsolved. We prove a duality theorem for multi-break distance problem and give a polynomial algorithm for computing this distance.