Rank-pairing heaps

Bernhard Haeupler; Siddhartha Sen; Robert Endre Tarjan

doi:10.1007/978-3-642-04128-0_59

Rank-pairing heaps

Bernhard Haeupler, Siddhartha Sen, Robert Endre Tarjan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

7 Scopus citations

Abstract

We introduce the rank-pairing heap, a heap (priority queue) implementation that combines the asymptotic efficiency of Fibonacci heaps with much of the simplicity of pairing heaps. Unlike all other heap implementations that match the bounds of Fibonacci heaps, our structure needs only one cut and no other structural changes per key decrease; the trees representing the heap can evolve to have arbitrary structure. Our initial experiments indicate that rank-pairing heaps perform almost as well as pairing heaps on typical input sequences and better on worst-case sequences.

Original language	English (US)
Title of host publication	Algorithms - ESA 2009 - 17th Annual European Symposium, Proceedings
Pages	659-670
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-642-04128-0_59
State	Published - Nov 11 2009
Event	17th Annual European Symposium on Algorithms, ESA 2009 - Copenhagen, Denmark Duration: Sep 7 2009 → Sep 9 2009

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	5757 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	17th Annual European Symposium on Algorithms, ESA 2009
Country	Denmark
City	Copenhagen
Period	9/7/09 → 9/9/09

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

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10.1007/978-3-642-04128-0_59

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abstract = "We introduce the rank-pairing heap, a heap (priority queue) implementation that combines the asymptotic efficiency of Fibonacci heaps with much of the simplicity of pairing heaps. Unlike all other heap implementations that match the bounds of Fibonacci heaps, our structure needs only one cut and no other structural changes per key decrease; the trees representing the heap can evolve to have arbitrary structure. Our initial experiments indicate that rank-pairing heaps perform almost as well as pairing heaps on typical input sequences and better on worst-case sequences.",

author = "Bernhard Haeupler and Siddhartha Sen and Tarjan, {Robert Endre}",

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Haeupler, B, Sen, S & Tarjan, RE 2009, Rank-pairing heaps. in Algorithms - ESA 2009 - 17th Annual European Symposium, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5757 LNCS, pp. 659-670, 17th Annual European Symposium on Algorithms, ESA 2009, Copenhagen, Denmark, 9/7/09. https://doi.org/10.1007/978-3-642-04128-0_59

Rank-pairing heaps. / Haeupler, Bernhard; Sen, Siddhartha; Tarjan, Robert Endre.

Algorithms - ESA 2009 - 17th Annual European Symposium, Proceedings. 2009. p. 659-670 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5757 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - We introduce the rank-pairing heap, a heap (priority queue) implementation that combines the asymptotic efficiency of Fibonacci heaps with much of the simplicity of pairing heaps. Unlike all other heap implementations that match the bounds of Fibonacci heaps, our structure needs only one cut and no other structural changes per key decrease; the trees representing the heap can evolve to have arbitrary structure. Our initial experiments indicate that rank-pairing heaps perform almost as well as pairing heaps on typical input sequences and better on worst-case sequences.

AB - We introduce the rank-pairing heap, a heap (priority queue) implementation that combines the asymptotic efficiency of Fibonacci heaps with much of the simplicity of pairing heaps. Unlike all other heap implementations that match the bounds of Fibonacci heaps, our structure needs only one cut and no other structural changes per key decrease; the trees representing the heap can evolve to have arbitrary structure. Our initial experiments indicate that rank-pairing heaps perform almost as well as pairing heaps on typical input sequences and better on worst-case sequences.

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Rank-pairing heaps

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