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» Universal Limit Laws for Depths in Random Trees
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SIAMCOMP
1998
114views more  SIAMCOMP 1998»
13 years 4 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
ALGORITHMICA
2005
93views more  ALGORITHMICA 2005»
13 years 4 months ago
Universal Asymptotics for Random Tries and PATRICIA Trees
Abstract. We consider random tries and random patricia trees constructed from n independent strings of symbols drawn from any distribution on any discrete space. We show that many ...
Luc Devroye
ALGORITHMICA
2006
174views more  ALGORITHMICA 2006»
13 years 4 months ago
Profiles of Random Trees: Limit Theorems for Random Recursive Trees and Binary Search Trees
We prove convergence in distribution for the profile (the number of nodes at each level), normalized by its mean, of random recursive trees when the limit ratio of the level and ...
Michael Fuchs, Hsien-Kuei Hwang, Ralph Neininger
DM
2008
104views more  DM 2008»
13 years 4 months ago
On edge-weighted recursive trees and inversions in random permutations
We introduce random recursive trees, where deterministically weights are attached to the edges according to the labeling of the trees. We will give a bijection between recursive t...
Markus Kuba, Alois Panholzer
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