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SIAMCOMP
2002
138views more  SIAMCOMP 2002»
13 years 4 months ago
Phase Change of Limit Laws in the Quicksort Recurrence under Varying Toll Functions
We characterize all limit laws of the quicksort type random variables defined recursively by Xn d = XIn + X n-1-In + Tn when the "toll function" Tn varies and satisfies ...
Hsien-Kuei Hwang, Ralph Neininger
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
CORR
2012
Springer
222views Education» more  CORR 2012»
12 years 15 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
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
CPC
1999
105views more  CPC 1999»
13 years 4 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