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International Colloquium on Automata, Languages, and Programming

ICALP 2015: Automata, Languages, and Programming pp 689–700Cite as

Hollow Heaps

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 9134)

Abstract

We introduce the hollow heap, a very simple data structure with the same amortized efficiency as the classical Fibonacci heap. All heap operations except delete and delete-min take O(1) time, worst case as well as amortized; delete and delete-min take \(O(\log n)\) amortized time. Hollow heaps are by far the simplest structure to achieve this. Hollow heaps combine two novel ideas: the use of lazy deletion and re-insertion to do decrease-key operations, and the use of a dag (directed acyclic graph) instead of a tree or set of trees to represent a heap. Lazy deletion produces hollow nodes (nodes without items), giving the data structure its name.

Keywords

  • Amortize Time
  • Fibonacci Heap
  • Virtual Parent
  • Full Node
  • Full Root

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-3-662-47672-7_56
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Author information

Authors and Affiliations

  1. Department of Computer Science, Aarhus University, Aarhus, Denmark

    Thomas Dueholm Hansen

  2. Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv-Yafo, Israel

    Haim Kaplan & Uri Zwick

  3. Department of Computer Science, Princeton University, Princeton, NJ, 08540, USA

    Robert E. Tarjan

  4. Intertrust Technologies, Sunnyvale, CA, 94085, USA

    Robert E. Tarjan

Authors
  1. Thomas Dueholm Hansen
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  2. Haim Kaplan
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  3. Robert E. Tarjan
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  4. Uri Zwick
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Corresponding author

Correspondence to Haim Kaplan .

Editor information

Editors and Affiliations

  1. Reykjavik University, Reykjavik, Iceland

    Magnús M. Halldórsson

  2. Kyoto University, Kyoto, Japan

    Kazuo Iwama

  3. The University of Tokyo, Tokyo, Japan

    Naoki Kobayashi

  4. Technische Universiteit Eindhoven, Eindhoven, The Netherlands

    Bettina Speckmann

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Hansen, T.D., Kaplan, H., Tarjan, R.E., Zwick, U. (2015). Hollow Heaps. In: Halldórsson, M., Iwama, K., Kobayashi, N., Speckmann, B. (eds) Automata, Languages, and Programming. ICALP 2015. Lecture Notes in Computer Science(), vol 9134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47672-7_56

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  • DOI: https://doi.org/10.1007/978-3-662-47672-7_56

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