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On the Performance of WEAK-HEAPSORT

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STACS 2000 (STACS 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1770))

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Abstract

Dutton (1993) presents a further HEAPSORT variant called WEAK-HEAPSORT, which also contains a new data structure for priority queues. The sorting algorithm and the underlying data structure are analyzed showing that WEAK-HEAPSORT is the best HEAPSORT variant and that it has a lot of nice properties.

It is shown that the worst case number of comparisons is n⌈log n⌉ — 2⌈log n⌉ + n − ⌈log n⌉ ≤ n log n + 0.1n and weak heaps can be generated with n − 1 comparisons. A double-ended priority queue based on weakheaps can be generated in n + ⌈n/2⌉ − 2 comparisons.

Moreover, examples for the worst and the best case of WEAK-HEAP-SORT are presented, the number of Weak-Heaps on 1, ... , n is determined, and experiments on the average case are reported.

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Author information

Authors and Affiliations

  1. Institut für Informatik, Albert-Ludwigs-Universität, Am Flughafen 17, D-79110, Freiburg

    Stefan Edelkamp

  2. Lehrstuhl 2, Fachbereich Informatik, Universität Dortmund, D-44221, Dortmund

    Ingo Wegener

Authors
  1. Stefan Edelkamp
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  2. Ingo Wegener
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Editor information

Editors and Affiliations

  1. Faculty of Computer Science, Dept. of Theoretical Computer Science, Universität Dresden, 01062, Dresden, Germany

    Horst Reichel

  2. Université de Lille, LIFL - UPRESA 8022, CNRS, Bât. M3 - UFR IEEA, 59655, Villeneuve d’ASCQ Cedex, France

    Sophie Tison

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Edelkamp, S., Wegener, I. (2000). On the Performance of WEAK-HEAPSORT . In: Reichel, H., Tison, S. (eds) STACS 2000. STACS 2000. Lecture Notes in Computer Science, vol 1770. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46541-3_21

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  • DOI: https://doi.org/10.1007/3-540-46541-3_21

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  • Print ISBN: 978-3-540-67141-1

  • Online ISBN: 978-3-540-46541-6

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