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SODA
2004
ACM
89views Algorithms» more  SODA 2004»
13 years 6 months ago
The number of bit comparisons used by Quicksort: an average-case analysis
The analyses of many algorithms and data structures (such as digital search trees) for searching and sorting are based on the representation of the keys involved as bit strings and...
James Allen Fill, Svante Janson
CORR
2012
Springer
179views Education» more  CORR 2012»
12 years 16 days ago
Distributional convergence for the number of symbol comparisons used by QuickSort
d Abstract) James Allen Fill1† 1 Department of Applied Mathematics and Statistics, The Johns Hopkins University, 34th and Charles Streets, Baltimore, MD 21218-2682 USA received 2...
James Allen Fill
ALGORITHMICA
2010
106views more  ALGORITHMICA 2010»
13 years 5 months ago
Analysis of the Expected Number of Bit Comparisons Required by Quickselect
When algorithms for sorting and searching are applied to keys that are represented as bit strings, we can quantify the performance of the algorithms not only in terms of the numbe...
James Allen Fill, Takéhiko Nakama
CORR
2000
Springer
71views Education» more  CORR 2000»
13 years 4 months ago
Smoothness and decay properties of the limiting Quicksort density function
Using Fourier analysis, we prove that the limiting distribution of the standardized random number of comparisons used by Quicksort to sort an array of n numbers has an everywhere ...
James Allen Fill, Svante Janson
DAGSTUHL
2008
13 years 6 months ago
Real Algebraic Numbers: Complexity Analysis and Experimentation
Abstract. We present algorithmic, complexity and implementation results concerning real root isolation of a polynomial of degree d, with integer coefficients of bit size , using S...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...