English

Average-Case Complexity of Shellsort

Data Structures and Algorithms 2007-05-23 v1 Computational Complexity

Abstract

We prove a general lower bound on the average-case complexity of Shellsort: the average number of data-movements (and comparisons) made by a pp-pass Shellsort for any incremental sequence is \Omega (pn^{1 + 1/p) for all plognp \leq \log n. Using similar arguments, we analyze the average-case complexity of several other sorting algorithms.

Cite

@article{arxiv.cs/9901010,
  title  = {Average-Case Complexity of Shellsort},
  author = {Tao Jiang and Ming Li and Paul Vitanyi},
  journal= {arXiv preprint arXiv:cs/9901010},
  year   = {2007}
}

Comments

11 pages. Submitted to ICALP'99