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On the Diameter of Rearrangement Problems

  • Carla Negri Lintzmayer
  • Zanoni Dias
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8542)

Abstract

When we consider the Genome Rearrangements area, the problems of finding the distance of a permutation and finding the diameter of all permutations of the same size are the most common studied. In this paper, we considered problems for which no known results were presented regarding their diameters. We present some families of permutations whose distance is identical to the diameter for small sizes. They allowed us to gave bounds for the diameters of the problems we considered, as well as conjectures regarding the exact value.

Keywords

Sorting permutations diameter reversals transpositions prefix operations suffix operations 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Carla Negri Lintzmayer
    • 1
  • Zanoni Dias
    • 1
  1. 1.Institute of ComputingUniversity of Campinas (Unicamp)CampinasBrazil

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