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arXiv · 1501.06461

On The Average-Case Complexity of Shellsort

Paul M. B. Vitanyi
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Abstract

We prove a lower bound expressed in the increment sequence on the average-case complexity of the number of inversions of Shellsort. This lower bound is sharp in every case where it could be checked. A special case of this lower bound yields the general Jiang-Li-Vitányi lower bound. We obtain new results e.g. determining the average-case complexity precisely in the Yao-Janson-Knuth 3-pass case.

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Paul M. B. Vitanyi. 2017-02-08. On The Average-Case Complexity of Shellsort. https://arxiv.org/abs/1501.06461

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