Article,

A Logarithmic Time Sort for Linear Size Networks

, and .
J. ACM, 34 (1): 60--76 (January 1987)
DOI: 10.1145/7531.7532

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;.

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