A q ‐Analogue of the Path Length of Binary Search Trees

A q ‐Analogue of the Path Length of Binary Search Trees

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Article ID: iaor20121063
Volume: 31
Issue: 3
Start Page Number: 433
End Page Number: 441
Publication Date: Nov 2001
Journal: Algorithmica
Authors:
Keywords: optimization, networks: path
Abstract:

A reformulation of the path length of binary search trees is given in terms of permutations, allowing us to extend the definition to the instance of words, where the letters are obtained by independent geometric random variables (with parameter q ). In this way, expressions for expectation and variance are obtained which in the limit for q→1 are the classical expressions.

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