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» Exponential-Time Approximation of Hard Problems
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COCO
2005
Springer
131views Algorithms» more  COCO 2005»
15 years 11 months ago
On the Hardness of Approximating Multicut and Sparsest-Cut
We show that the Multicut, Sparsest-Cut, and Min-2CNF≡ Deletion problems are NP-hard to approximate within every constant factor, assuming the Unique Games Conjecture of Khot [S...
Shuchi Chawla, Robert Krauthgamer, Ravi Kumar, Yuv...
STOC
2006
ACM
113views Algorithms» more  STOC 2006»
15 years 11 months ago
Logarithmic hardness of the directed congestion minimization problem
We show that for any constant ε > 0, there is no Ω(log1−ε M)approximation algorithm for the directed congestion minimization problem on networks of size M unless NP ⊆ Z...
Matthew Andrews, Lisa Zhang
SODA
2010
ACM
214views Algorithms» more  SODA 2010»
16 years 3 months ago
Amplified Hardness of Approximation for VCG-Based Mechanisms
If a two-player social welfare maximization problem does not admit a PTAS, we prove that any maximal-in-range truthful mechanism that runs in polynomial time cannot achieve an app...
Shaddin Dughmi, Hu Fu, Robert Kleinberg
FOCS
1998
IEEE
15 years 10 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
TIT
2011
131views more  TIT 2011»
15 years 24 days ago
On the Hardness of Approximating the Network Coding Capacity
Abstract—This work addresses the computational complexity of achieving the capacity of a general network coding instance. We focus on the linear capacity, namely the capacity of ...
Michael Langberg, Alexander Sprintson