APPROXIMATE AND EXACT PARALLEL SCHEDULING WITH APPLICATIONS TO LIST, TREE AND GRAPH PROBLEMS.

Richard Cole, Uzi Vishkin

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

Abstract

The authors study two parallel scheduling problems and their use in designing parallel algorithms. First they define a novel scheduling problem that they solve by repeated approximate reschedulings. This leads to an optimal PRAM (parallel random access machine) algorithm for list ranking that runs in logarithmic time. The second scheduling result is for computing prefix sums of log n bit numbers. An optimal parallel algorithm for the problem which runs in sublogarithmic time is given. These two scheduling results together lead to logarithmic-time PRAM algorithms for the connectivity, bioconnectivity and minimum spanning-tree problems. The connectivity and biconnectivity algorithms are optimal unless m equals O(n log n, in graphs of n vertices and m edges.

Original languageEnglish (US)
Title of host publicationAnnual Symposium on Foundations of Computer Science (Proceedings)
PublisherIEEE
Pages478-490
Number of pages13
ISBN (Print)0818607408, 9780818607400
DOIs
StatePublished - 1986

Publication series

NameAnnual Symposium on Foundations of Computer Science (Proceedings)
ISSN (Print)0272-5428

ASJC Scopus subject areas

  • Hardware and Architecture

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  • Cite this

    Cole, R., & Vishkin, U. (1986). APPROXIMATE AND EXACT PARALLEL SCHEDULING WITH APPLICATIONS TO LIST, TREE AND GRAPH PROBLEMS. In Annual Symposium on Foundations of Computer Science (Proceedings) (pp. 478-490). (Annual Symposium on Foundations of Computer Science (Proceedings)). IEEE. https://doi.org/10.1109/sfcs.1986.10