On the average-case complexity of Shellsort

Open Access
Authors
Publication date 03-2018
Journal Random Structures and Algorithms
Volume | Issue number 52 | 2
Pages (from-to) 354-363
Number of pages 10
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
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, for example, determining the average-case complexity precisely in the Yao-Janson-Knuth 3-pass case.

Document type Article
Language English
Published at https://doi.org/10.1002/rsa.20737
Published at https://arxiv.org/abs/1501.06461
Other links https://www.scopus.com/pages/publications/85040798948
Downloads
1501.06461 (Accepted author manuscript)
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