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Scandinavian Workshop on Algorithm Theory

SWAT 1996: Algorithm Theory — SWAT'96 pp 416–427Cite as

Priority queues on parallel machines

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1097))

Abstract

We present time and work optimal priority queues for the CREW PRAM, supporting FindMin in constant time with one processor and MakeQueue, Insert, Meld, Findmin, Extractmin, Delete and DecreaseKey in constant time with O(log n) processors. A priority queue can be build in time O(log n) with O(n/log n) processors and k elements can be inserted into a priority queue in time O(log k) with O((log n + k)/log k) processors. With a slowdown of O(log log n) in time the priority queues adopt to the EREW PRAM by only increasing the required work by a constant factor. A pipelined version of the priority queues adopt to a processor array of size O(log n), supporting the operations MakeQueue, Insert, Meld, FindMin, Extractmin, Delete and DecreaseKey in constant time.

Supported by the Danish Natural Science Research Council (Grant No. 9400044). This research was done while visiting the Max-Planck Institut für Informatik, Saarbrücken, Germany.

Basic Research in Computer Science, a Centre of the Danish National Research Foundation.

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Authors and Affiliations

  1. BRICS, Computer Science Department, Aarhus University, DK-8000, Ny Munkegade, Århus C, Denmark

    Gerth Stølting Brodal

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  1. Gerth Stølting Brodal
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Rolf Karlsson Andrzej Lingas

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© 1996 Springer-Verlag Berlin Heidelberg

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Brodal, G.S. (1996). Priority queues on parallel machines. In: Karlsson, R., Lingas, A. (eds) Algorithm Theory — SWAT'96. SWAT 1996. Lecture Notes in Computer Science, vol 1097. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61422-2_150

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  • DOI: https://doi.org/10.1007/3-540-61422-2_150

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61422-7

  • Online ISBN: 978-3-540-68529-6

  • eBook Packages: Springer Book Archive

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