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» Complexity Cores and Hard Problem Instances
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SIGAL
1990
221views Algorithms» more  SIGAL 1990»
13 years 9 months ago
Complexity Cores and Hard Problem Instances
Many intractable problems such as NP-complete problems (provided P = NP) have easy subproblems. In contrast, we investigate the existence and the properties of inherently hard sub...
Uwe Schöning
ANTS
2006
Springer
139views Algorithms» more  ANTS 2006»
13 years 8 months ago
Hard Instances of the Constrained Discrete Logarithm Problem
The discrete logarithm problem (DLP) generalizes to the constrained DLP, where the secret exponent x belongs to a set known to the attacker. The complexity of generic algorithms f...
Ilya Mironov, Anton Mityagin, Kobbi Nissim
COCO
2005
Springer
123views Algorithms» more  COCO 2005»
13 years 10 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
CC
2007
Springer
121views System Software» more  CC 2007»
13 years 4 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
CORR
2007
Springer
217views Education» more  CORR 2007»
13 years 4 months ago
Hard constraint satisfaction problems have hard gaps at location 1
An instance of the maximum constraint satisfaction problem (Max CSP) is a nite collection of constraints on a set of variables, and the goal is to assign values to the variables ...
Peter Jonsson, Andrei A. Krokhin, Fredrik Kuivinen