(1+epsilon)-Approximation of Sorting by Reversals and Transpositions

  • Authors:
  • Niklas Eriksen

  • Affiliations:
  • -

  • Venue:
  • WABI '01 Proceedings of the First International Workshop on Algorithms in Bioinformatics
  • Year:
  • 2001

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Abstract

Gu et al. gave a 2-approximation for computing the minimal number of inversions and transpositions needed to sort a permutation. There is evidence that, from the point of view of computational molecular biology, a more adequate objective function is obtained, if transpositions are given double weight. We present a (1 + Ɛ)-approximation for this problem, based on the exact algorithm of Hannenhalli and Pevzner, for sorting by reversals only.