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» On discrete norms of polynomials
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FOCS
2004
IEEE
14 years 1 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot
SIROCCO
2004
13 years 11 months ago
The Range Assignment Problem in Static Ad-Hoc Networks on Metric Spaces
In this paper we study the range assignment problem in static ad-hoc networks on metric spaces. We consider the h-strong connectivity and h-broadcast problems on trees, high dimens...
Deshi Ye, Hu Zhang
SODA
2000
ACM
127views Algorithms» more  SODA 2000»
13 years 11 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
ADCM
2004
74views more  ADCM 2004»
13 years 9 months ago
Extremal Systems of Points and Numerical Integration on the Sphere
This paper considers extremal systems of points on the unit sphere Sr Rr+1, related problems of numerical integration and geometrical properties of extremal systems. Extremal sys...
Ian H. Sloan, Robert S. Womersley
JCO
2010
123views more  JCO 2010»
13 years 8 months ago
Capacity inverse minimum cost flow problem
Given a directed graph G = (N, A) with arc capacities uij and a minimum cost flow problem defined on G, the capacity inverse minimum cost flow problem is to find a new capacit...
Çigdem Güler, Horst W. Hamacher