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RSA
2002
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13 years 11 months ago
On the covariance of the level sizes in random recursive trees
In this paper we study the covariance structure of the number of nodes k and l steps away from the root in random recursive trees. We give an analytic expression valid for all k, ...
Remco van der Hofstad, Gerard Hooghiemstra, Piet V...
ALGORITHMICA
2006
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13 years 11 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
DM
2008
104views more  DM 2008»
13 years 11 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
CPC
2008
135views more  CPC 2008»
13 years 11 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