Cache-oblivious priority queue and graph algorithm applications

  • Authors:
  • Lars Arge;Michael A. Bender;Erik D. Demaine;Bryan Holland-Minkley;J. Ian Munro

  • Affiliations:
  • Duke University;SUNY Stony Brook;MIT;Duke University;University of Waterloo

  • Venue:
  • STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
  • Year:
  • 2002

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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 logM/BN \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.