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JAL
2002
64views more  JAL 2002»
13 years 5 months ago
Quicksort asymptotics
The number of comparisons Xn used by Quicksort to sort an array of n distinct numbers has mean
James Allen Fill, Svante Janson
IPL
2007
100views more  IPL 2007»
13 years 6 months ago
Average-case analysis of QuickSort and Binary Insertion Tree height using incompressibility
We study the Kolmogorov complexity of a Binary Insertion Tree, and present a succinct encoding scheme for Binary Insertion Trees produced from incompressible permutations. Based o...
Brendan Lucier, Tao Jiang, Ming Li
SIAMCOMP
2002
138views more  SIAMCOMP 2002»
13 years 5 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
SODA
2004
ACM
89views Algorithms» more  SODA 2004»
13 years 7 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
DAM
2006
79views more  DAM 2006»
13 years 6 months ago
A simple expected running time analysis for randomized "divide and conquer" algorithms
There are many randomized "divide and conquer" algorithms, such as randomized Quicksort, whose operation involves partitioning a problem of size n uniformly at random int...
Brian C. Dean