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Sorting by Prefix Block-Interchanges

Author Anthony Labarre

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  • Theory of computation → Design and analysis of algorithms
Keywords
  • permutations
  • genome rearrangements
  • interconnection network
  • sorting
  • edit distance
  • prefix block-interchange

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Abstract

We initiate the study of sorting permutations using prefix block-interchanges, which exchange any prefix of a permutation with another non-intersecting interval. The goal is to transform a given permutation into the identity permutation using as few such operations as possible. We give a 2-approximation algorithm for this problem, show how to obtain improved lower and upper bounds on the corresponding distance, and determine the largest possible value for that distance.

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Anthony Labarre. Sorting by Prefix Block-Interchanges. In 31st International Symposium on Algorithms and Computation (ISAAC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 181, pp. 55:1-55:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020) https://doi.org/10.4230/LIPIcs.ISAAC.2020.55

Author Details

Anthony Labarre
  • Laboratoire d'Informatique Gaspard Monge, Université Gustave Eiffel, LIGM (UMR 8049), CNRS, ENPC, ESIEE Paris, UPEM, 77454, Marne-la-Vallée, France

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