Quicksort Algorithm Again Revisited

@article{Knessl1999QuicksortAA,
  title={Quicksort Algorithm Again Revisited},
  author={Charles Knessl and Wojciech Szpankowski},
  journal={Discrete Mathematics & Theoretical Computer Science},
  year={1999},
  volume={3},
  pages={43-64}
}
We consider the standard Quicksort algorithm that sorts n di tinct keys with all possible n! orderings of keys being equally likely. Equivalently, we analyze the total path length Ln in a randomly builtbinary search tree . Obtaining the limiting distribution ofLn is still an outstanding open problem. In this paper, we estab li h an integral equation for the probability density of the number of comparisons Ln. Then, we investigate the large deviations of Ln. We shall show that the left tail of… CONTINUE READING

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