2005 International Conference on Analysis of Algorithms
Conrado Martínez (ed.)
DMTCS Conference Volume AD (2005), pp. 105114
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
with
α
α≥0
(
α=0
and
α=1
correspond roughly to the space requirement and total
path length, respectively); (ii)
ln
binom
(n, m1)
1
, which corresponds to the number of leaves.
n=m1

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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.
105114

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