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» Universal Limit Laws for Depths in Random Trees
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SIAMCOMP
2002
139views more  SIAMCOMP 2002»
13 years 4 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
CORR
2012
Springer
222views Education» more  CORR 2012»
12 years 16 days ago
A limit process for partial match queries in random quadtrees
We consider the problem of recovering items matching a partially specified pattern in multidimensional trees (quad trees and k-d trees). We assume the classical model where the d...
Nicolas Broutin, Ralph Neininger, Henning Sulzbach
CPC
2002
80views more  CPC 2002»
13 years 4 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 4 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
AAAI
1996
13 years 6 months ago
Improved Limited Discrepancy Search
We present an improvement to Harvey and Ginsberg's limited discrepancy search algorithm, which eliminates much of the redundancy in the original, by generating each path from...
Richard E. Korf