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Sorting-based selection algorithms for hypercubic networks

Publication ,  Conference
Berthome, P; Ferreira, A; Maggs, BM; Perennes, S; Plaxton, CG
Published in: Proceedings of 7th International Parallel Processing Symposium, IPPS 1993
January 1, 1993

This paper presents several deterministic algorithms for selecting the kth largest record from a set of n records on any n-node hypercubic network. All of the algorithms are based on the selection algorithm of Cole and Yap (1985), as well as on various sorting algorithms for hypercubic networks. The authors fastest algorithm runs in O(lg n lgn) time, very nearly matching the trivial Omega (lg n) lower bound. Previously, the best upper bound known for selection was O(lg n lg lg n).

Duke Scholars

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Proceedings of 7th International Parallel Processing Symposium, IPPS 1993

DOI

Publication Date

January 1, 1993

Start / End Page

89 / 95
 

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Berthome, P., Ferreira, A., Maggs, B. M., Perennes, S., & Plaxton, C. G. (1993). Sorting-based selection algorithms for hypercubic networks. In Proceedings of 7th International Parallel Processing Symposium, IPPS 1993 (pp. 89–95). https://doi.org/10.1109/IPPS.1993.262861
Berthome, P., A. Ferreira, B. M. Maggs, S. Perennes, and C. G. Plaxton. “Sorting-based selection algorithms for hypercubic networks.” In Proceedings of 7th International Parallel Processing Symposium, IPPS 1993, 89–95, 1993. https://doi.org/10.1109/IPPS.1993.262861.
Berthome P, Ferreira A, Maggs BM, Perennes S, Plaxton CG. Sorting-based selection algorithms for hypercubic networks. In: Proceedings of 7th International Parallel Processing Symposium, IPPS 1993. 1993. p. 89–95.
Berthome, P., et al. “Sorting-based selection algorithms for hypercubic networks.” Proceedings of 7th International Parallel Processing Symposium, IPPS 1993, 1993, pp. 89–95. Scopus, doi:10.1109/IPPS.1993.262861.
Berthome P, Ferreira A, Maggs BM, Perennes S, Plaxton CG. Sorting-based selection algorithms for hypercubic networks. Proceedings of 7th International Parallel Processing Symposium, IPPS 1993. 1993. p. 89–95.

Published In

Proceedings of 7th International Parallel Processing Symposium, IPPS 1993

DOI

Publication Date

January 1, 1993

Start / End Page

89 / 95