13 search results - page 1 / 3 » Profiles of Random Trees: Limit Theorems for Random Recursiv... |
ALGORITHMICA
2006
13 years 4 months ago
2006
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 ...
ALGORITHMICA
2006
13 years 4 months ago
2006
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...
CPC
2008
13 years 5 months ago
2008
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...
SIAMDM
2008
13 years 4 months ago
2008
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...
SIAMCOMP
2002
13 years 4 months ago
2002
We consider sums of functions of subtrees of a random binary search tree, and obtain general laws of large numbers and central limit theorems. These sums correspond to random recur...