# 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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Automatically produced on Mon Oct 4 22:04:17 CEST 2004
by falk