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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
16 years 7 days 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 1 months 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 11 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 5 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