A logarithmic time sort for linear size networks

  • Authors:
  • John H. Reif;Leslie G. Valiant

  • Affiliations:
  • Harvard Univ., Cambridge, MA;Harvard Univ., Cambridge, MA

  • Venue:
  • Journal of the ACM (JACM)
  • Year:
  • 1987

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Abstract

A randomized algorithm that sorts on an N node network with constant valence in O(log N) time is given. More particularly, the algorithm sorts N items on an N-node cube-connected cycles graph, and, for some constant k, for all large enough &agr;, it terminates within k&agr; log N time with probability at least 1 - N-&agr;.