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» The hardness and approximation algorithms for l-diversity
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COCO
2005
Springer
123views Algorithms» more  COCO 2005»
15 years 3 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»
15 years 7 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»
15 years 1 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»
15 years 10 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»
15 years 3 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...