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» On the hardness of approximating Max-Satisfy
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SIAMCOMP
2008
101views more  SIAMCOMP 2008»
14 years 9 months ago
Combination Can Be Hard: Approximability of the Unique Coverage Problem
We prove semi-logarithmic inapproximability for a maximization problem called unique coverage: given a collection of sets, find a subcollection that maximizes the number of elemen...
Erik D. Demaine, Uriel Feige, MohammadTaghi Hajiag...
CC
2007
Springer
121views System Software» more  CC 2007»
14 years 9 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
COCO
2001
Springer
142views Algorithms» more  COCO 2001»
15 years 2 months ago
On the Complexity of Approximating the VC Dimension
We study the complexity of approximating the VC dimension of a collection of sets, when the sets are encoded succinctly by a small circuit. We show that this problem is • Σp 3-...
Elchanan Mossel, Christopher Umans
ICALP
2007
Springer
15 years 3 months ago
Parameterized Approximability of the Disjoint Cycle Problem
Abstract. We give an fpt approximation algorithm for the directed vertex disjoint cycle problem. Given a directed graph G with n vertices and a positive integer k, the algorithm co...
Martin Grohe, Magdalena Grüber
DAC
1998
ACM
15 years 10 months ago
Approximation and Decomposition of Binary Decision Diagrams
Efficient techniques for the manipulation of Binary Decision Diagrams (BDDs) are key to the success of formal verification tools. Recent advances in reachability analysis and mode...
Kavita Ravi, Kenneth L. McMillan, Thomas R. Shiple...