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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
ALGORITHMICA
2006
84views more  ALGORITHMICA 2006»
13 years 4 months ago
Large Deviations for the Weighted Height of an Extended Class of Trees
We use large deviations to prove a general theorem on the asymptotic edge-weighted height Hn of a large class of random trees for which Hn c log n for some positive constant c. A...
Nicolas Broutin, Luc Devroye
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
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
GECCO
2004
Springer
119views Optimization» more  GECCO 2004»
13 years 10 months ago
Randomized Local Search, Evolutionary Algorithms, and the Minimum Spanning Tree Problem
Randomized search heuristics, among them randomized local search and evolutionary algorithms, are applied to problems whose structure is not well understood, as well as to problems...
Frank Neumann, Ingo Wegener