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arXiv · 1012.0956

A tight bound on the worst-case number of comparisons for Floyd's heap construction algorithm

Ioannis Paparrizos
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Abstract

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

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Ioannis Paparrizos. 2010-12-05. A tight bound on the worst-case number of comparisons for Floyd's heap construction algorithm. https://arxiv.org/abs/1012.0956

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