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Sorting by Prefix Block-Interchanges

Author Anthony Labarre

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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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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

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.

Subject Classification

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

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References

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