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COMBINATORICS
2000
84views more  COMBINATORICS 2000»
13 years 7 months ago
A Note on the Asymptotic Behavior of the Heights in b-Tries for b Large
We study the limiting distribution of the height in a generalized trie in which external nodes are capable to store up to b items (the so called b-tries). We assume that such a tr...
Charles Knessl, Wojciech Szpankowski
ALGORITHMICA
2005
93views more  ALGORITHMICA 2005»
13 years 7 months ago
Universal Asymptotics for Random Tries and PATRICIA Trees
Abstract. We consider random tries and random patricia trees constructed from n independent strings of symbols drawn from any distribution on any discrete space. We show that many ...
Luc Devroye
ECCC
2010
108views more  ECCC 2010»
13 years 4 months ago
Improved bounds for the randomized decision tree complexity of recursive majority
We consider the randomized decision tree complexity of the recursive 3-majority function. For evaluating a height h formulae, we prove a lower bound for the -two-sided-error rando...
Frédéric Magniez, Ashwin Nayak, Mikl...
ICML
2010
IEEE
13 years 8 months ago
Random Spanning Trees and the Prediction of Weighted Graphs
We show that the mistake bound for predicting the nodes of an arbitrary weighted graph is characterized (up to logarithmic factors) by the cutsize of a random spanning tree of the...
Nicolò Cesa-Bianchi, Claudio Gentile, Fabio...
DM
2008
104views more  DM 2008»
13 years 7 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