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» Complexity Cores and Hard Problem Instances
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SIGAL
1990
221views Algorithms» more  SIGAL 1990»
14 years 3 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»
14 years 2 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»
14 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
CC
2007
Springer
121views System Software» more  CC 2007»
13 years 11 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 10 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