An O(n3/2√log(n)) algorithm for sorting by reciprocal translocations

  • Authors:
  • Michal Ozery-Flato;Ron Shamir

  • Affiliations:
  • School of Computer Science, Tel-Aviv University, Tel Aviv, Israel;School of Computer Science, Tel-Aviv University, Tel Aviv, Israel

  • Venue:
  • CPM'06 Proceedings of the 17th Annual conference on Combinatorial Pattern Matching
  • Year:
  • 2006

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Abstract

We prove that sorting by reciprocal translocations can be done in $O(n^{3/2}\sqrt{\log (n)})$ for an n-gene genome. Our algorithm is an adaptation of the Tannier et. al algorithm for sorting by reversals. This improves over the O(n3) algorithm for sorting by reciprocal translocations given by Bergeron et al.