Discrete Mathematics & Theoretical Computer Science


Volume 6 n° 2 (2004), pp. 409-424

author:Wolfgang Steiner
title:The distribution of m-ary search trees generated by van der Corput sequences
keywords:m-ary search trees, van der Corput sequence, tree height, central limit theorem, generating function
abstract:We study the structure of m-ary search trees generated by the van der Corput sequences. The height of the tree is calculated and a generating function approach shows that the distribution of the depths of the nodes is asymptotically normal. Additionally a local limit theorem is derived.

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reference: Wolfgang Steiner (2004), The distribution of m-ary search trees generated by van der Corput sequences, Discrete Mathematics and Theoretical Computer Science 6, pp. 409-424
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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