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» On the hardness of approximating Max-Satisfy
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SODA
2012
ACM
225views Algorithms» more  SODA 2012»
13 years 2 days ago
Approximating rooted Steiner networks
The Directed Steiner Tree (DST) problem is a cornerstone problem in network design. We focus on the generalization of the problem with higher connectivity requirements. The proble...
Joseph Cheriyan, Bundit Laekhanukit, Guyslain Nave...
FOCS
2004
IEEE
15 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
FOCS
1998
IEEE
15 years 1 months ago
The Shortest Vector in a Lattice is Hard to Approximate to Within Some Constant
We show that approximating the shortest vector problem (in any p norm) to within any constant factor less than p 2 is hard for NP under reverse unfaithful random reductions with i...
Daniele Micciancio
CC
2002
Springer
126views System Software» more  CC 2002»
14 years 9 months ago
On the hardness of approximating the permanent of structured matrices
We show that for several natural classes of "structured" matrices, including symmetric, circulant, Hankel and Toeplitz matrices, approximating the permanent modulo a prim...
Bruno Codenotti, Igor Shparlinski, Arne Winterhof
RANDOM
1998
Springer
15 years 1 months ago
Using Approximation Hardness to Achieve Dependable Computation
Abstract. Redundancy has been utilized to achieve fault tolerant computation and to achieve reliable communication in networks of processors. These techniques can only be extended ...
Mike Burmester, Yvo Desmedt, Yongge Wang