The distribution of m-ary search trees generated by van der Corput sequences
Wolfgang Steiner
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.
Full Text: GZIP Compressed PostScript PostScript PDF original HTML abstract page