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» The hardness and approximation algorithms for l-diversity
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COCO
2005
Springer
123views Algorithms» more  COCO 2005»
14 years 1 months ago
If NP Languages are Hard on the Worst-Case Then It is Easy to Find Their Hard Instances
We prove that if NP ⊆ BPP, i.e., if SAT is worst-case hard, then for every probabilistic polynomial-time algorithm trying to decide SAT, there exists some polynomially samplable ...
Dan Gutfreund, Ronen Shaltiel, Amnon Ta-Shma
SODA
2010
ACM
214views Algorithms» more  SODA 2010»
14 years 5 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
COCO
2006
Springer
93views Algorithms» more  COCO 2006»
13 years 11 months ago
Making Hard Problems Harder
We consider a general approach to the hoary problem of (im)proving circuit lower bounds. We define notions of hardness condensing and hardness extraction, in analogy to the corres...
Joshua Buresh-Oppenheim, Rahul Santhanam
STOC
2006
ACM
170views Algorithms» more  STOC 2006»
14 years 8 months ago
Hardness of approximate two-level logic minimization and PAC learning with membership queries
Producing a small DNF expression consistent with given data is a classical problem in computer science that occurs in a number of forms and has numerous applications. We consider ...
Vitaly Feldman
COCO
2005
Springer
131views Algorithms» more  COCO 2005»
14 years 1 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...