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» On the Discovery of Random Trees
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SIAMCOMP
1998
114views more  SIAMCOMP 1998»
14 years 11 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
WIA
2009
Springer
15 years 6 months ago
Random Generation of Deterministic Tree (Walking) Automata
Uniform random generators deliver a simple empirical means to estimate the average complexity of an algorithm. We present a general rejection algorithm that generates sequential le...
Pierre-Cyrille Héam, Cyril Nicaud, Sylvain ...
STACS
1999
Springer
15 years 3 months ago
Balanced Randomized Tree Splitting with Applications to Evolutionary Tree Constructions
We present a new technique called balanced randomized tree splitting. It is useful in constructing unknown trees recursively. By applying it we obtain two new results on efficient ...
Ming-Yang Kao, Andrzej Lingas, Anna Östlin
RSA
2006
78views more  RSA 2006»
14 years 11 months ago
Nodes of large degree in random trees and forests
We study the asymptotic behaviour of the number Nk,n of nodes of given degree k in unlabeled random trees, when the tree size n and the node degree k both tend to infinity. It is s...
Bernhard Gittenberger
DAM
2008
74views more  DAM 2008»
14 years 11 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