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SODA
2000
ACM
127views Algorithms» more  SODA 2000»
13 years 9 months ago
Dimensionality reduction techniques for proximity problems
In this paper we give approximation algorithms for several proximity problems in high dimensional spaces. In particular, we give the rst Las Vegas data structure for (1 + )-neares...
Piotr Indyk
ALGORITHMICA
2002
93views more  ALGORITHMICA 2002»
13 years 7 months ago
Improved Algorithms for Uniform Partitions of Points
We consider the following one- and two-dimensional bucketing problems: Given a set S of n points in R1 or R2 and a positive integer b, distribute the points of S into b equal-size ...
Pankaj K. Agarwal, Binay K. Bhattacharya, Sandeep ...
EUROCRYPT
2005
Springer
14 years 1 months ago
Floating-Point LLL Revisited
The Lenstra-Lenstra-Lov´asz lattice basis reduction algorithm (LLL or L3 ) is a very popular tool in public-key cryptanalysis and in many other fields. Given an integer d-dimensi...
Phong Q. Nguyen, Damien Stehlé
JCDCG
2004
Springer
14 years 27 days ago
Farthest-Point Queries with Geometric and Combinatorial Constraints
In this paper we discuss farthest-point problems in which a set or sequence S of n points in the plane is given in advance and can be preprocessed to answer various queries efficie...
Ovidiu Daescu, Ningfang Mi, Chan-Su Shin, Alexande...
COMPGEOM
1992
ACM
13 years 11 months ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar