Quicksort may be the most familiar and important randomised algorithm studied in computer science. It is well known that the expected number of comparisons on any input of n distinct keys is Θ(n ln n), and the probability of a large deviation above the expected value is very small. This probability was well estimated some time ago, with an ad-hoc proof: we shall revisit this result in the light of further work on concentration.


Binary Tree List Length Binary Search Tree Partition Tree Fundamental Lemma 
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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Colin McDiarmid
    • 1
  1. 1.University of OxfordUK

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