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SIAMCOMP
2002
139views more  SIAMCOMP 2002»
13 years 5 months ago
Limit Laws for Sums of Functions of Subtrees of Random Binary Search Trees
We consider sums of functions of subtrees of a random binary search tree, and obtain general laws of large numbers and central limit theorems. These sums correspond to random recur...
Luc Devroye
SIAMDM
2008
99views more  SIAMDM 2008»
13 years 5 months ago
Phase Changes in Subtree Varieties in Random Recursive and Binary Search Trees
We study the variety of subtrees lying on the fringe of recursive trees and binary search trees by analyzing the distributional behavior of Xn,k, which counts the number of subtree...
Qunqiang Feng, Hosam M. Mahmoud, Alois Panholzer
IPL
2002
119views more  IPL 2002»
13 years 5 months ago
Randomized splay trees: Theoretical and experimental results
Splay trees are self-organizing binary search trees that were introduced by Sleator and Tarjan [12]. In this paper we present a randomized variant of these trees. The new algorith...
Susanne Albers, Marek Karpinski
CPC
2002
80views more  CPC 2002»
13 years 5 months ago
The Wiener Index Of Random Trees
The Wiener index is analyzed for random recursive trees and random binary search trees in the uniform probabilistic models. We obtain the expectations, asymptotics for the varianc...
Ralph Neininger
JAL
2002
113views more  JAL 2002»
13 years 5 months ago
A multivariate view of random bucket digital search trees
We take a multivariate view of digital search trees by studying the number of nodes of different types that may coexist in a bucket digital search tree as it grows under an arbitr...
Friedrich Hubalek, Hsien-Kuei Hwang, William Lew, ...