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A Tight Bound on the Worst-Case Number of Comparisons for Floyd’s Heap Construction Algorithm

  • Ioannis PaparrizosEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 31)

Abstract

In this paper a tight bound on the worst-case number of comparisons for Floyd’s well-known heap construction algorithm is derived.1 It is shown that at most \(2n - 2\mu (n) - \sigma (n)\) comparisons are executed in the worst case, where μ(n) is the number of ones and σ(n) is the number of zeros after the last one in the binary representation of the number of keys n.

Key words

Algorithm analysis Worst case complexity Data structures Heaps 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Computer Science DepartmentColumbia UniversityNew YorkUSA

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