On compressing permutations and adaptive sorting

  • Authors:
  • Jérémy Barbay;Gonzalo Navarro

  • Affiliations:
  • -;-

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2013

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Abstract

We prove that, given a permutation @p over [1..n] formed of nRuns sorted blocks of sizes given by the vector R=, there exists a compressed data structure encoding @p in n(1+H(R))=n+@?"i"="1^n^R^u^n^sr"ilog"2nr"i=