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CAAP
1992
13 years 11 months ago
Varieties of Increasing Trees
We extend results about heights of random trees (Devroye, 1986, 1987, 1998b). In this paper, a general split tree model is considered in which the normalized subtree sizes of node...
François Bergeron, Philippe Flajolet, Bruno...
IMAMS
2003
125views Mathematics» more  IMAMS 2003»
13 years 8 months ago
A Graph-Spectral Method for Surface Height Recovery
This paper describes a graph-spectral method for 3D surface integration. The algorithm takes as its input a 2D field of surface normal estimates, delivered, for instance, by a sh...
Antonio Robles-Kelly, Edwin R. Hancock
DAGSTUHL
2007
13 years 9 months ago
Smoothed Analysis of Binary Search Trees and Quicksort Under Additive Noise
Binary search trees are a fundamental data structure and their height plays a key role in the analysis of divide-and-conquer algorithms like quicksort. Their worst-case height is l...
Bodo Manthey, Till Tantau
ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
14 years 29 days ago
Smoothed Analysis of Binary Search Trees
Binary search trees are one of the most fundamental data structures. While the height of such a tree may be linear in the worst case, the average height with respect to the uniform...
Bodo Manthey, Rüdiger Reischuk
EJC
2010
13 years 7 months ago
The shape of unlabeled rooted random trees
We consider the number of nodes in the levels of unlabelled rooted random trees and show that the stochastic process given by the properly scaled level sizes weakly converges to th...
Michael Drmota, Bernhard Gittenberger