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CRYPTO
2009
Springer
154views Cryptology» more  CRYPTO 2009»
16 years 1 months ago
On Bounded Distance Decoding, Unique Shortest Vectors, and the Minimum Distance Problem
We prove the equivalence, up to a small polynomial approximation factor n/ log n, of the lattice problems uSVP (unique Shortest Vector Problem), BDD (Bounded Distance Decoding) and...
Vadim Lyubashevsky, Daniele Micciancio
FOCS
2002
IEEE
15 years 11 months ago
Covering Problems with Hard Capacities
We consider the classical vertex cover and set cover problems with the addition of hard capacity constraints. This means that a set (vertex) can only cover a limited number of its...
Julia Chuzhoy, Joseph Naor
COMPGEOM
2009
ACM
16 years 28 days ago
On the set multi-cover problem in geometric settings
We consider the set multi-cover problem in geometric settings. Given a set of points P and a collection of geometric shapes (or sets) F, we wish to nd a minimum cardinality subse...
Chandra Chekuri, Kenneth L. Clarkson, Sariel Har-P...
FOCS
2000
IEEE
15 years 10 months ago
Hierarchical Placement and Network Design Problems
In this paper, we give the first constant-approximations for a number of layered network design problems. We begin by modeling hierarchical caching, where caches are placed in la...
Sudipto Guha, Adam Meyerson, Kamesh Munagala
FSTTCS
2010
Springer
15 years 4 months ago
Combinatorial Problems with Discounted Price Functions in Multi-agent Systems
ABSTRACT. Motivated by economic thought, a recent research agenda has suggested the algorithmic study of combinatorial optimization problems under functions which satisfy the prope...
Gagan Goel, Pushkar Tripathi, Lei Wang