**Reference**:- Lars Arge, Michael A. Bender, Erik D. Demaine, Bryan E. Holland-Minkley, and J. Ian Munro, “An Optimal Cache-Oblivious Priority Queue and its Application to Graph Algorithms”,
*SIAM Journal on Computing*, volume 36, number 6, March 2007, pages 1672–1695. **Abstract**:-
We develop an optimal cache-oblivious priority queue data structure,
supporting insertion, deletion, and delete-min operations in
*O*((1/*B*) log_{M/B}(*N*/*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. Our structure is as efficient as 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. **Length**:- The paper is 26 pages.
**Availability**:- The paper is available in PostScript (471k) and gzipped PostScript (193k).
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**Related papers**:- BufferTrees_STOC2002 (Cache-Oblivious Priority Queue and Graph Algorithm Applications)

See also other papers by Erik Demaine.

Last updated January 15, 2021 by Erik Demaine.