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ECCC
2010
103views more  ECCC 2010»
15 years 1 months ago
A note on exponential circuit lower bounds from derandomizing Arthur-Merlin games
We present an alternate proof of the recent result by Gutfreund and Kawachi that derandomizing Arthur-Merlin games into PNP implies linear-exponential circuit lower bounds for ENP...
Scott Aaronson, Baris Aydinlioglu, Harry Buhrman, ...
MOC
2010
15 years 1 months ago
Choosing the correct elliptic curve in the CM method
We give an elementary way to distinguish between the twists of an ordinary elliptic curve E over Fp in order to identify the one with p+1-2U points, when p = U2 + dV 2 with 2U, 2V ...
Karl Rubin, Alice Silverberg
ICALP
2009
Springer
16 years 6 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...
FOCS
1995
IEEE
15 years 10 months ago
Free Bits, PCPs and Non-Approximability - Towards Tight Results
This paper continues the investigation of the connection between probabilistically checkable proofs PCPs the approximability of NP-optimization problems. The emphasis is on prov...
Mihir Bellare, Oded Goldreich, Madhu Sudan
SIAMCOMP
1998
125views more  SIAMCOMP 1998»
15 years 6 months ago
Free Bits, PCPs, and Nonapproximability-Towards Tight Results
This paper continues the investigation of the connection between probabilistically checkable proofs (PCPs) and the approximability of NP-optimization problems. The emphasis is on p...
Mihir Bellare, Oded Goldreich, Madhu Sudan