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SIAMCOMP
1998
114views more  SIAMCOMP 1998»
13 years 8 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
14 years 3 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
14 years 26 days 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»
13 years 8 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»
13 years 8 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