The average number of block interchanges needed to sort a permutation and a recent result of Stanley

  • Authors:
  • Miklós Bóna;Ryan Flynn

  • Affiliations:
  • Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA;Department of Mathematics, Penn State University, University Park, State College, PA 16802, USA

  • Venue:
  • Information Processing Letters
  • Year:
  • 2009

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Abstract

We use an interesting recent result of probabilistic flavor concerning the product of two permutations consisting of one cycle each to find an explicit formula for the average number of block interchanges needed to sort a permutation of length n.