Combinatorica

, Volume 3, Issue 1, pp 1–19

Sorting inc logn parallel steps

  • M. Ajtai
  • J. Komlós
  • E. Szemerédi
Article

Abstract

We give a sorting network withcn logn comparisons. The algorithm can be performed inc logn parallel steps as well, where in a parallel step we comparen/2 disjoint pairs. In thei-th step of the algorithm we compare the contents of registersRj(i), andRk(i), wherej(i), k(i) are absolute constants then change their contents or not according to the result of the comparison.

AMS subject classification (1980)

68 E 05 

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References

  1. [1]
    O. Gabber andZ. Galil, Explicit constructions of linear size superconcentrators,Proc. 20st Annual Symposium on Foundations of Computer Science (1979).Google Scholar
  2. [2]
    D. E. Knuth,The art of computer programming Volume 3, Sorting and Searching, Addison—Wesley (1973).Google Scholar
  3. [3]
    G. A. Margulis, Effective construction of expander graphs (in Russian),Probl. Pered. Inf. 9 (4), 71–80.Google Scholar

Copyright information

© Akadémiai Kiadó 1983

Authors and Affiliations

  • M. Ajtai
    • 1
  • J. Komlós
    • 1
  • E. Szemerédi
    • 1
  1. 1.Mathematical Institute of the Hungarian Academy of SciencesBudapestHungary

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