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average performance

RAIRO - Theoretical Informatics and Applications (1)

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On the median-of-k versionof Hoare's selection algorithm
Rudolf Grübel
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 33 / Issue 2 / March 1999

Published online by Cambridge University Press:

15 August 2002, pp. 177-192

Print publication:

March 1999
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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 convergencein distribution of the number of comparisons required and obtain a simple explicit result for the limitingaverage performance of the median-of-three version.