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SPAA
2004
ACM
14 years 1 months ago
Balanced graph partitioning
We consider the problem of partitioning a graph into k components of roughly equal size while minimizing the capacity of the edges between different components of the cut. In part...
Konstantin Andreev, Harald Räcke
STOC
2006
ACM
152views Algorithms» more  STOC 2006»
14 years 8 months ago
Private approximation of search problems
Many approximation algorithms have been presented in the last decades for hard search problems. The focus of this paper is on cryptographic applications, where it is desired to de...
Amos Beimel, Paz Carmi, Kobbi Nissim, Enav Weinreb
APPROX
2009
Springer
195views Algorithms» more  APPROX 2009»
14 years 2 months ago
Approximating Node-Connectivity Augmentation Problems
The (undirected) Node Connectivity Augmentation (NCA) problem is: given a graph J = (V, EJ ) and connectivity requirements {r(u, v) : u, v ∈ V }, find a minimum size set I of n...
Zeev Nutov
ECCC
2007
185views more  ECCC 2007»
13 years 8 months ago
Trapdoors for Hard Lattices and New Cryptographic Constructions
We show how to construct a variety of “trapdoor” cryptographic tools assuming the worst-case hardness of standard lattice problems (such as approximating the length of the sho...
Craig Gentry, Chris Peikert, Vinod Vaikuntanathan
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
14 years 1 months ago
A new multilayered PCP and the hardness of hypergraph vertex cover
Given a k-uniform hypergraph, the Ek-Vertex-Cover problem is to find the smallest subset of vertices that intersects every hyperedge. We present a new multilayered PCP constructi...
Irit Dinur, Venkatesan Guruswami, Subhash Khot, Od...