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;.
%0 Journal Article
%1 reif87
%A Reif, John H.
%A Valiant, Leslie G.
%C New York, NY, USA
%D 1987
%I ACM
%J J. ACM
%K algorithm sorting sorting.network
%N 1
%P 60--76
%R 10.1145/7531.7532
%T A Logarithmic Time Sort for Linear Size Networks
%V 34
%X 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;.
@article{reif87,
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;.},
acmid = {7532},
added-at = {2016-10-29T05:07:08.000+0200},
address = {New York, NY, USA},
author = {Reif, John H. and Valiant, Leslie G.},
biburl = {https://www.bibsonomy.org/bibtex/2ad4a7e2c153015477e0179800e93f310/ytyoun},
doi = {10.1145/7531.7532},
interhash = {2ff9d78ddd8fbef9225a8e06962cfd8c},
intrahash = {ad4a7e2c153015477e0179800e93f310},
issn = {0004-5411},
issue_date = {Jan. 1987},
journal = {J. ACM},
keywords = {algorithm sorting sorting.network},
month = jan,
number = 1,
numpages = {17},
pages = {60--76},
publisher = {ACM},
timestamp = {2016-10-29T12:10:19.000+0200},
title = {A Logarithmic Time Sort for Linear Size Networks},
volume = 34,
year = 1987
}