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IAJIT
2010
179views more  IAJIT 2010»
13 years 3 months ago
Enhanced Quicksort Algorithm
: Sorting is considered as one of the important issues of computer science. Although there is a huge number of sorting algorithms, sorting problem has attracted a great deal of res...
Rami Mansi
COCOON
2005
Springer
13 years 10 months ago
Randomized Quicksort and the Entropy of the Random Source
Abstract. The worst-case complexity of an implementation of Quicksort depends on the random number generator that is used to select the pivot elements. In this paper we estimate th...
Beatrice List, Markus Maucher, Uwe Schöning, ...
CORR
2000
Springer
100views Education» more  CORR 2000»
13 years 4 months ago
Perfect simulation from the Quicksort limit distribution
The weak limit of the normalized number of comparisons needed by the Quicksort algorithm to sort n randomly permuted items is known to be determined implicitly by a distributional...
Luc Devroye, James Allen Fill, Ralph Neininger
JAL
2002
69views more  JAL 2002»
13 years 4 months ago
Rates of convergence for Quicksort
The normalized number of key comparisons needed to sort a list of randomly permuted items by the Quicksort algorithm is known to converge in distribution. We identify the rate of ...
Ralph Neininger, Ludger Rüschendorf
SIAMCOMP
2002
138views more  SIAMCOMP 2002»
13 years 4 months ago
Phase Change of Limit Laws in the Quicksort Recurrence under Varying Toll Functions
We characterize all limit laws of the quicksort type random variables defined recursively by Xn d = XIn + X n-1-In + Tn when the "toll function" Tn varies and satisfies ...
Hsien-Kuei Hwang, Ralph Neininger