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» The Distribution of Patterns in Random Trees
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ALGORITHMICA
2006
174views more  ALGORITHMICA 2006»
13 years 6 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
RSA
2006
63views more  RSA 2006»
13 years 6 months ago
Random cutting and records in deterministic and random trees
We study random cutting down of a rooted tree and show that the number of cuts is equal (in distribution) to the number of records in the tree when edges (or vertices) are assigned...
Svante Janson
RSA
2010
106views more  RSA 2010»
13 years 1 months ago
Thermodynamic limit for large random trees
We consider Gibbs distributions on finite random plane trees with bounded branching. We show that as the order of the tree grows to infinity, the distribution of any finite neighb...
Yuri Bakhtin
DAM
2008
74views more  DAM 2008»
13 years 6 months ago
A distributional study of the path edge-covering numbers for random trees
Abstract. We study for various tree families the distribution of the number of edgedisjoint paths required to cover the edges of a random tree of size n. For all tree families cons...
Alois Panholzer
COLT
2003
Springer
13 years 12 months ago
Learning Random Log-Depth Decision Trees under the Uniform Distribution
We consider three natural models of random logarithmic depth decision trees over Boolean variables. We give an efficient algorithm that for each of these models learns all but an ...
Jeffrey C. Jackson, Rocco A. Servedio