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  Improved deterministic parallel padded sorting

Chong, K. W., & Ramos, E. A. (1998). Improved deterministic parallel padded sorting. In G. Bilardi, G. F. Italiano, A. Pietracaprina, & G. Pucci (Eds.), Proceedings of the 6th Annual European Symposium on Algorithms (ESA-98) (pp. 405-416). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-37A7-A Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-37A9-6
Genre: Conference Paper

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 Creators:
Chong, Ka Wong1, Author           
Ramos, Edgar A.1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: Given an input array of $n$ real numbers, sorting with padding $\lambda$ consists in writing those numbers in order in an array of size $(1+\lambda)n$, thus leaving $\lambda n$ entries {\em empty}. Only comparisons are allowed between the numbers to be sorted. We describe an algorithm that, with $nk$ processors in the CRCW PRAM model, sorts the input array with padding $o(1)$ using time $ O(\log_k n \log^*(\log_k n)+\loglog k) $. This improves a previous algorithm %by Hagerup and Raman %\cite{HaRa93} with time bound %(after an improvement in \cite{GoZw95}) $ O(\log_k n $ $(\loglog k)^3\cdot 2^{C(\log^* n-\log^*k)}) $. The best known lower bound is $\Omega(\log_k n)$.

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Language(s): eng - English
 Dates: 2010-03-021998
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 517991
Other: Local-ID: C1256428004B93B8-803B8EAD07BB9F59C1256716006A4AD0-Chong-Ramos1998
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Title: Untitled Event
Place of Event: Venice, Italy
Start-/End Date: 1998

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Title: Proceedings of the 6th Annual European Symposium on Algorithms (ESA-98)
Source Genre: Proceedings
 Creator(s):
Bilardi, Gianfranco, Editor
Italiano, Giuseppe F., Editor
Pietracaprina, Andrea, Editor
Pucci, Geppino, Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 405 - 416 Identifier: ISBN: 3-540-64848-8

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: 1461 Sequence Number: - Start / End Page: - Identifier: -