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Article Dans Une Revue Discrete Mathematics and Theoretical Computer Science Année : 2004

The distribution of m-ary search trees generated by van der Corput sequences

Wolfgang Steiner

Résumé

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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Dates et versions

hal-00023232 , version 1 (21-04-2006)
hal-00023232 , version 2 (11-06-2014)

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Citer

Wolfgang Steiner. The distribution of m-ary search trees generated by van der Corput sequences. Discrete Mathematics and Theoretical Computer Science, 2004, Vol. 6 no. 2, pp.409-424. ⟨10.46298/dmtcs.318⟩. ⟨hal-00023232v1⟩
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