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» On the Complexity of Hardness Amplification
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COCOON
1999
Springer
15 years 1 months ago
Distributionally-Hard Languages
Cai and Selman [CS99] defined a modification of Levin’s notion of average polynomial time and proved, for every P-bi-immune language L and every polynomial-time computable dis...
Lance Fortnow, Aduri Pavan, Alan L. Selman
COMPGEOM
2007
ACM
15 years 1 months ago
On the hardness of minkowski addition and related operations
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
Hans Raj Tiwary
TIT
2011
131views more  TIT 2011»
14 years 4 months ago
On the Hardness of Approximating the Network Coding Capacity
Abstract—This work addresses the computational complexity of achieving the capacity of a general network coding instance. We focus on the linear capacity, namely the capacity of ...
Michael Langberg, Alexander Sprintson
100
Voted
DAC
2007
ACM
15 years 10 months ago
Period Optimization for Hard Real-time Distributed Automotive Systems
The complexity and physical distribution of modern active-safety automotive applications requires the use of distributed architectures. These architectures consist of multiple ele...
Abhijit Davare, Qi Zhu, Marco Di Natale, Claudio P...
75
Voted
FOCS
2008
IEEE
15 years 4 months ago
Hardness of Minimizing and Learning DNF Expressions
We study the problem of finding the minimum size DNF formula for a function f : {0, 1}d → {0, 1} given its truth table. We show that unless NP ⊆ DTIME(npoly(log n) ), there i...
Subhash Khot, Rishi Saket