Discrete Mathematics & Theoretical Computer Science
| 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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