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The worst case complexity of MC Diarmid and Reed's variant of BOTTOM-UP-HEAT SORT is less than n log n+1.1n

  • Algorithms I
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STACS 91 (STACS 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 480))

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Abstract

BOTTOM-UP-HEAP SORT is a variant of HEAP SORT which beats on average even the clever variants of QUICK SORT, if n is not very small. Up to now, the worst case complexity of BOTTOM-UP-HEAP SORT can be estimated only by 1.5n log n. McDiarmid and Reed (1989) have presented a variant of BOTTOM-UP-HEAP SORT which needs extra storage for n bits. The worst case number of comparisons of this (almost internal) sorting algorithm is estimated by n log n+1.1n. It is discussed how many comparisons can be saved on average.

Supported in part by DFG grants We 1066-2/1 and Me 872-1/3

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Authors and Affiliations

  1. FB Informatik, LS II, Universität Dortmund, Postfach 500 500, 4600, Dortmund 50, Fed. Rep. of Germany

    Ingo Wegener

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  1. Ingo Wegener
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Christian Choffrut Matthias Jantzen

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© 1991 Springer-Verlag Berlin Heidelberg

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Wegener, I. (1991). The worst case complexity of MC Diarmid and Reed's variant of BOTTOM-UP-HEAT SORT is less than n log n+1.1n. In: Choffrut, C., Jantzen, M. (eds) STACS 91. STACS 1991. Lecture Notes in Computer Science, vol 480. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020794

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  • DOI: https://doi.org/10.1007/BFb0020794

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53709-0

  • Online ISBN: 978-3-540-47002-1

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