RAIRO-Theor. Inf. Appl.
Volume 33, Number 2, March April 1999
|Page(s)||177 - 192|
|Published online||15 August 2002|
On the median-of-k version of Hoare's selection algorithm
Institut für Mathematische Stochastik,
Postfach 60 09,
30060 Hannover, Germany; email@example.com.
Accepted: March 1999
In Hoare's (1961) original version of the algorithm the partitioning element in the central divide-and-conquer step is chosen uniformly at random from the set S in question. Here we consider a variant where this element is the median of a sample of size 2k+1 from S. We investigate convergence in distribution of the number of comparisons required and obtain a simple explicit result for the limiting average performance of the median-of-three version.
Mathematics Subject Classification: 68Q25 / 68P10
Key words: Randomized algorithms / average performance / asymptotic distribution.
© EDP Sciences, 1999
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.