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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
SIAMCOMP
1998
114views more  SIAMCOMP 1998»
13 years 5 months ago
Universal Limit Laws for Depths in Random Trees
Random binary search trees, b-ary search trees, median-of-(2k+1) trees, quadtrees, simplex trees, tries, and digital search trees are special cases of random split trees. For these...
Luc Devroye
CORR
2012
Springer
222views Education» more  CORR 2012»
12 years 1 months 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
1999
105views more  CPC 1999»
13 years 5 months ago
Total Path Length For Random Recursive Trees
Total path length, or search cost, for a rooted tree is defined as the sum of all root-to-node distances. Let Tn be the total path length for a random recursive tree of order n. M...
Robert P. Dobrow, James Allen Fill
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