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Article

Cache-oblivious priority queue and graph algorithm applications

Authors:

Michael A. Bender,

Erik D. Demaine,

Bryan Holland-Minkley,

J. Ian MunroAuthors Info & Claims

STOC '02: Proceedings of the thiry-fourth annual ACM symposium on Theory of computing

Pages 268 - 276

https://doi.org/10.1145/509907.509950

Published: 19 May 2002 Publication History

Abstract

(MATH) In this paper we develop an optimal cache-oblivious priority queue data structure, supporting insertion, deletion, and deletemin operations in O(¹ \over _B log^M/B^N \over _B) amortized memory transfers, where M and B are the memory and block transfer sizes of any two consecutive levels of a multilevel memory hierarchy. In a cache-oblivious data structure, M and B are not used in the description of the structure. The bounds match the bounds of several previously developed external-memory (cache-aware) priority queue data structures, which all rely crucially on knowledge about M and B. Priority queues are a critical component in many of the best known external- memory graph algorithms, and using our cache-oblivious priority queue we develop several cache- oblivious graph algorithms.

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Sanders PSchimek M(2023)Engineering Massively Parallel MST Algorithms2023 IEEE International Parallel and Distributed Processing Symposium (IPDPS)10.1109/IPDPS54959.2023.00075(691-701)Online publication date: May-2023
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Index Terms

Cache-oblivious priority queue and graph algorithm applications

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cover image ACM Conferences

STOC '02: Proceedings of the thiry-fourth annual ACM symposium on Theory of computing

May 2002

840 pages

ISBN:1581134959

DOI:10.1145/509907

Conference Chair:
John Reif
Duke University

Copyright © 2002 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 19 May 2002

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STOC02: Symposium on the Theory of Computing

May 19 - 21, 2002

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STOC '02 Paper Acceptance Rate 91 of 287 submissions, 32%;

Overall Acceptance Rate 1,469 of 4,586 submissions, 32%

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Cited By

Dong XWang LGu YSun YDehnavi MKulkarni MKrishnamoorthy S(2023)Provably Fast and Space-Efficient Parallel BiconnectivityProceedings of the 28th ACM SIGPLAN Annual Symposium on Principles and Practice of Parallel Programming10.1145/3572848.3577483(52-65)Online publication date: 25-Feb-2023
https://dl.acm.org/doi/10.1145/3572848.3577483
Sanders PSchimek M(2023)Engineering Massively Parallel MST Algorithms2023 IEEE International Parallel and Distributed Processing Symposium (IPDPS)10.1109/IPDPS54959.2023.00075(691-701)Online publication date: May-2023
https://doi.org/10.1109/IPDPS54959.2023.00075
Jiang SLarsen KChan T(2019)A faster external memory priority queue with DecreaseKeysProceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3310435.3310516(1331-1343)Online publication date: 6-Jan-2019
https://dl.acm.org/doi/10.5555/3310435.3310516
Magalhães BSterling THines MSchürmann F(2019)Fully-Asynchronous Cache-Efficient Simulation of Detailed Neural NetworksComputational Science – ICCS 201910.1007/978-3-030-22744-9_33(421-434)Online publication date: 12-Jun-2019
https://dl.acm.org/doi/10.1007/978-3-030-22744-9_33
Bender MChowdhury RConway AFarach-Colton MGanapathi PJohnson RMcCauley SSimon BSingh S(2016)The I/O Complexity of Computing Prime TablesLATIN 2016: Theoretical Informatics10.1007/978-3-662-49529-2_15(192-206)Online publication date: 22-Mar-2016
https://doi.org/10.1007/978-3-662-49529-2_15
Abu Salem FEl-Harake KGemayel KPernet C(2015)Cache oblivious sparse polynomial factoring using the funnel heapProceedings of the 2015 International Workshop on Parallel Symbolic Computation10.1145/2790282.2790283(7-15)Online publication date: 10-Jul-2015
https://dl.acm.org/doi/10.1145/2790282.2790283
Stølting G(2015)Cache-Oblivious SortingEncyclopedia of Algorithms10.1007/978-3-642-27848-8_63-2(1-5)Online publication date: 25-Jun-2015
https://doi.org/10.1007/978-3-642-27848-8_63-2
Demaine EGopal VHasenplaugh W(2015)Cache-Oblivious Iterated Predecessor Queries via Range CoalescingAlgorithms and Data Structures10.1007/978-3-319-21840-3_21(249-262)Online publication date: 28-Jul-2015
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Nai LXia YLin CHong BLee HTrancoso PFranklin DMcKee S(2014)Cache-conscious graph collaborative filtering on multi-socket multicore systemsProceedings of the 11th ACM Conference on Computing Frontiers10.1145/2597917.2597935(1-10)Online publication date: 20-May-2014
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Cong GMuzio P(2014)Fast Parallel Connected Components Algorithms on GPUsRevised Selected Papers, Part I, of the Euro-Par 2014 International Workshops on Parallel Processing - Volume 880510.1007/978-3-319-14325-5_14(153-164)Online publication date: 25-Aug-2014
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