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» On the Hardness of Approximate Reasoning
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TON
2012
12 years 12 months ago
On New Approaches of Assessing Network Vulnerability: Hardness and Approximation
—Society relies heavily on its networked physical infrastructure and information systems. Accurately assessing the vulnerability of these systems against disruptive events is vit...
Thang N. Dinh, Ying Xuan, My T. Thai, Panos M. Par...
SODA
2012
ACM
210views Algorithms» more  SODA 2012»
12 years 12 months ago
Approximation algorithms and hardness of the k-route cut problem
Julia Chuzhoy, Yury Makarychev, Aravindan Vijayara...
100
Voted
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
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
99
Voted
CALC
2001
Springer
171views Cryptology» more  CALC 2001»
15 years 2 months ago
Approximate Integer Common Divisors
We show that recent results of Coppersmith, Boneh, Durfee and Howgrave-Graham actually apply in the more general setting of (partially) approximate common divisors. This leads us t...
Nick Howgrave-Graham