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Probabilistic analysis of some searching and sorting algorithms

โœ Scribed by Lent J.


Year
1996
Tongue
English
Leaves
112
Edition
Dissertation
Category
Library

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โœฆ Synopsis


We use binary trees to analyze two algorithms, insertion sort and multiple quckselect. In each case, we consider the number of comparisons consumed as a measure of performance. We assume that the ranks of the n data values being searched or sorted form a random permutation of the integers {l,...,n}. For insertion sort, we consider the limiting distribution of the number of comparisons consumed in the process of sorting the n keys. We present an average-case analysis of the number of comparisons multiple qukkselect (MQS) requires for simultaneously finding several order statistics in the data set.


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