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A Logarithmic Time Sort for Linear Size Networks

, and . Proceedings of the Fifteenth Annual ACM Symposium on Theory of Computing, page 10--16. New York, NY, USA, ACM, (1983)
DOI: 10.1145/800061.808727

Abstract

We give a randomized algorithm that sorts on an N node network with constant valence in 0(log N) time. 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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