Selection networks with 8n log2n size and O(log n) depth

Shuji Jinbo, Akira Maruoka

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

An (n, n/2)-selector is a comparator network that classifies a set of n values into two classes with the same number of values in such a way that each element in one class is at least as large as all of those in the other. Based on utilization of expanders, Pippenger[6] constructed (n, n/2)-selectors, whose size is asymptotic to 2n log2 n and whose depth is O((log n)2). In the same spirit, we obtain a relatively simple method to construct (n, n/2)-seleetors of depth O(log n). We construct (n, n/2)-selectors of size at most 8n log 2 n + O(n). Moreover, for arbitrary C > 3/log2 3 = 1.8927…, we construct (n, n/2)-selectors of size at most Cn log2n + O(n).

Original languageEnglish
Title of host publicationAlgorithms and Computation - 3rd International Symposium, ISAAC 1992, Proceedings
PublisherSpringer Verlag
Pages165-174
Number of pages10
Volume650 LNCS
ISBN (Print)9783540562795
DOIs
Publication statusPublished - 1992
Externally publishedYes
Event3rd International Symposium on Algorithms and Computation, ISAAC 1992 - Nagoya, Japan
Duration: Dec 16 1992Dec 18 1992

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume650 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other3rd International Symposium on Algorithms and Computation, ISAAC 1992
CountryJapan
CityNagoya
Period12/16/9212/18/92

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Jinbo, S., & Maruoka, A. (1992). Selection networks with 8n log2n size and O(log n) depth. In Algorithms and Computation - 3rd International Symposium, ISAAC 1992, Proceedings (Vol. 650 LNCS, pp. 165-174). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 650 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-56279-6_69