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SIAMDM
2008
99views more  SIAMDM 2008»
13 years 5 months ago
Phase Changes in Subtree Varieties in Random Recursive and Binary Search Trees
We study the variety of subtrees lying on the fringe of recursive trees and binary search trees by analyzing the distributional behavior of Xn,k, which counts the number of subtree...
Qunqiang Feng, Hosam M. Mahmoud, Alois Panholzer
ALGORITHMICA
2006
84views more  ALGORITHMICA 2006»
13 years 5 months ago
Large Deviations for the Weighted Height of an Extended Class of Trees
We use large deviations to prove a general theorem on the asymptotic edge-weighted height Hn of a large class of random trees for which Hn c log n for some positive constant c. A...
Nicolas Broutin, Luc Devroye
IUI
2009
ACM
14 years 2 months ago
Searching large indexes on tiny devices: optimizing binary search with character pinning
The small physical size of mobile devices imposes dramatic restrictions on the user interface (UI). With the ever increasing capacity of these devices as well as access to large o...
Guy Shani, Christopher Meek, Tim Paek, Bo Thiesson...
ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
13 years 11 months 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
CIAC
1994
Springer
148views Algorithms» more  CIAC 1994»
13 years 9 months ago
Efficient Reorganization of Binary Search Trees
We consider the problem of maintaining a binary search tree (BST) that minimizes the average access cost needed to satisfy randomly generated requests. We analyze scenarios in whi...
Micha Hofri, Hadas Shachnai