Title
Improved upper bounds on Shellsort
Abstract
The running time of Shellsort, with the number of passes restricted to O (log N ), was thought for some time to be Θ(N 3 2 ) , due to general results of Pratt. Sedgewick recently gave an O(N 4 3 ) bound, but extensions of his method to provide better bounds seem to require new results on a classical problem in number theory. In this paper, we use a different approach to achieve O(N 1 + ε √1 g N ) for any ε0.
Year
DOI
Venue
1985
10.1016/0022-0000(85)90042-X
Journal of Computer and System Sciences
Keywords
Field
DocType
improved upper bound,switches,information analysis,algorithm design and analysis,testing,additives,sorting,lead,number theory,computer science,upper bound,hydrogen
Discrete mathematics,Binary logarithm,Combinatorics,Algorithm design,Upper and lower bounds,Sorting,Shellsort,Number theory,Mathematics
Journal
Volume
Issue
ISSN
31
2
Journal of Computer and System Sciences
Citations 
PageRank 
References 
28
10.66
1
Authors
2
Name
Order
Citations
PageRank
Janet Incerpi15221.82
Robert Sedgewick21723544.99