Revisiting calculation of moments of number of comparisons used by the randomized quick sort algorithm

Sumit Kumar Jha · Discrete Mathematics Algorithms and Applications · 2016

We revisit the method of Kirschenhofer, Prodinger and Tichy to calculate the moments of number of comparisons used by the randomized quick sort algorithm. We reemphasize that this approach helps in calculating these quantities with less computation. We also point out that as observed by Knuth this method also gives moments for total path length of a binary search tree built over a random set of [Formula: see text] keys.

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