Discrete Mathematics & Theoretical Computer Science, Vol 6, No 1 (2003)

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DMTCS vol 6 no 1 (2003), pp. 91-100

Discrete Mathematics & Theoretical Computer Science


Volume 6 n° 1 (2003), pp. 91-100

author:Charles Knessl
title:Numerical Studies of the Asymptotic Height Distribution in Binary Search Trees
keywords:asymptotics, height, binary search trees, numerical analysis
abstract:We study numerically a non-linear integral equation that arises in the study of binary search trees. If the tree is constructed from n elements, this integral equation describes the asymptotic (as n → ∞) distribution of the height of the tree. This supplements some asymptotic results we recently obtained for the tails of the distribution. The asymptotic height distribution is shown to be unimodal with highly asymmetric tails.

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reference: Charles Knessl (2003), Numerical Studies of the Asymptotic Height Distribution in Binary Search Trees, Discrete Mathematics and Theoretical Computer Science 6, pp. 91-100
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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Automatically produced on Wed Aug 27 11:57:14 CEST 2003 by falk