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Average-Case Complexity of Shellsort (Preliminary version) | Tao Jiang
; Ming Li
; Paul Vitanyi
; | Date: |
4 Jun 1999 | Subject: | Computational Complexity; Data Structures and Algorithms ACM-class: F.2.2, E.1 | cs.CC cs.DS | Affiliation: | McMaster U.), Ming Li (U. Waterloo), Paul Vitanyi (CWI & U. Amsterdam | 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 $p$-pass Shellsort for any incremental sequence is $Omega (pn^{1 + 1/p})$ for every $p$. The proof method is an incompressibility argument based on Kolmogorov complexity. Using similar techniques, the average-case complexity of several other sorting algorithms is analyzed. | Source: | arXiv, cs.CC/9906008 | Services: | Forum | Review | PDF | Favorites |
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