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SIAMCOMP
2002
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13 years 11 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
CPC
2002
80views more  CPC 2002»
13 years 11 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
CPC
2008
135views more  CPC 2008»
13 years 11 months ago
Subtree Sizes in Recursive Trees and Binary Search Trees: Berry-Esseen Bounds and Poisson Approximations
We study the number of subtrees on the fringe of random recursive trees and random binary search trees whose limit law is known to be either normal or Poisson or degenerate depend...
Michael Fuchs