On Probabilistic Networks for Selection, Merging, and Sorting

@article{Leighton1995OnPN,
  title={On Probabilistic Networks for Selection, Merging, and Sorting},
  author={Frank Thomson Leighton and Yuan Ma and Torsten Suel},
  journal={Theory of Computing Systems},
  year={1995},
  volume={30},
  pages={559-582}
}
We study comparator networks for selection, merging, and sorting that output the correct result with high probability, given a random input permutation. We prove tight bounds, up to constant factors, on the size and depth of probabilistic (n,k)-selection networks. In the case of (n, n/2)-selection, our result gives a somewhat surprising bound of $\Theta(n \log \log n)$ on the size of networks of success probability in $[\delta, 1-1/\mbox{poly}(n)]$ , where δ is an arbitrarily small positive… CONTINUE READING

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Szemer d́i

  • M. Ajtai, J. Komlós
  • Halvers and expanders
  • 1992
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Knuth.The Art of Computer Programming

  • D E.
  • 1973
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Sorting algorithms with minimum memory

  • V. E. Alekseyev
  • Kibernetika, 5:99–103,
  • 1969
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