Title
Average-Case Complexity of Shellsort (Preliminary version)
Abstract
We prove a general lower bound on the average-case com- plexity of Shellsort: the average number of data-movements (and com- parisons) made by a p-pass Shellsort for any incremental sequence is (pn1+1/p) for every p. The proof method is an incompressibility ar- gument based on Kolmogorov complexity. Using similar techniques, the average-case complexity of several other sorting algorithms is analyzed.
Year
DOI
Venue
1999
10.1007/3-540-48523-6_42
international colloquium on automata, languages and programming
Keywords
Field
DocType
lower bound,data structure,sorting algorithm,computational complexity
Discrete mathematics,Average-case complexity,Combinatorics,Kolmogorov complexity,Upper and lower bounds,Binary strings,Shellsort,Young tableau,Sorting algorithm,Mathematics
Journal
Volume
Citations 
PageRank 
cs.CC/9906
6
0.46
References 
Authors
8
3
Name
Order
Citations
PageRank
Tao Jiang136633.90
Ming Li25595829.00
Paul Vitányi32130287.76