DMTCS Proceedings, 2005 International Conference on Analysis of Algorithms

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DMTCS Conference vol AD (2005), pp. 105-114

DMTCS

2005 International Conference on Analysis of Algorithms

Conrado Martínez (ed.)

DMTCS Conference Volume AD (2005), pp. 105-114


author: James Allen Fill and Nevin Kapur
title: A repertoire for additive functionals of uniformly distributed
m
-ary search trees
keywords: additive functionals, Hadamard products, limit laws, method of moments, search trees, shape functional, singularity analysis, space requirement, leaves
abstract: Using recent results on singularity analysis for Hadamard products of generating functions, we obtain the limiting distributions for additive functionals on
m
-ary search trees on
n
keys with toll sequence (i) 
n
α
with
α≥0
(
α=0
and
α=1
correspond roughly to the space requirement and total path length, respectively); (ii) 
ln
binom
(n, m-1)
, which corresponds to the so-called shape functional; and (iii) 
1
n=m-1
, which corresponds to the number of leaves.
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reference: James Allen Fill and Nevin Kapur (2005), A repertoire for additive functionals of uniformly distributed
m
-ary search trees, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 105-114
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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