Discrete Mathematics & Theoretical Computer Science, Vol 6, No 2 (2004)

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

Wolfgang Steiner


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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