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SIAMCOMP
2002
139views more  SIAMCOMP 2002»
14 years 9 months ago
Limit Laws for Sums of Functions of Subtrees of Random Binary Search Trees
We consider sums of functions of subtrees of a random binary search tree, and obtain general laws of large numbers and central limit theorems. These sums correspond to random recur...
Luc Devroye
SIAMCOMP
2002
153views more  SIAMCOMP 2002»
14 years 9 months ago
A Decision Procedure for Unitary Linear Quantum Cellular Automata
Linear quantum cellular automata were introduced recently as one of the models of quantum computing. A basic postulate of quantum mechanics imposes a strong constraint on any quan...
Christoph Dürr, Miklos Santha
SIAMCOMP
2002
113views more  SIAMCOMP 2002»
14 years 9 months ago
Fast Greedy Algorithms for Constructing Sparse Geometric Spanners
Given a set V of n points in Rd and a real constant t > 1, we present the first O(n log n)-time algorithm to compute a geometric t-spanner on V . A geometric t-spanner on V is a...
Joachim Gudmundsson, Christos Levcopoulos, Giri Na...
SIAMCOMP
2008
95views more  SIAMCOMP 2008»
14 years 9 months ago
On the Algorithmic Aspects of Discrete and Lexicographic Helly-Type Theorems and the Discrete LP-Type Model
Helly's theorem says that, if every d+1 elements of a given finite set of convex objects in Rd have a common point, there is a point common to all of the objects in the set. I...
Nir Halman
SIAMCOMP
2008
121views more  SIAMCOMP 2008»
14 years 9 months ago
Closest Substring Problems with Small Distances
We study two pattern matching problems that are motivated by applications in computational biology. In the Closest Substring problem k strings s1, . . ., sk are given, and the tas...
Dániel Marx