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SIAMDM
2008
99views more  SIAMDM 2008»
13 years 4 months ago
Phase Changes in Subtree Varieties in Random Recursive and Binary Search Trees
We study the variety of subtrees lying on the fringe of recursive trees and binary search trees by analyzing the distributional behavior of Xn,k, which counts the number of subtree...
Qunqiang Feng, Hosam M. Mahmoud, Alois Panholzer
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
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
JCT
2007
150views more  JCT 2007»
13 years 4 months ago
On the degree distribution of the nodes in increasing trees
Abstract. Simple families of increasing trees can be constructed from simply generated tree families, if one considers for every tree of size n all its increasing labellings, i.e.,...
Markus Kuba, Alois Panholzer