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» Random MAX SAT, random MAX CUT, and their phase transitions
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SODA
2003
ACM
125views Algorithms» more  SODA 2003»
13 years 5 months ago
Random MAX SAT, random MAX CUT, and their phase transitions
With random inputs, certain decision problems undergo a “phase transition”. We prove similar behavior in an optimization context. Given a conjunctive normal form (CNF) formula...
Don Coppersmith, David Gamarnik, Mohammad Taghi Ha...
CPC
2006
110views more  CPC 2006»
13 years 4 months ago
Solving Sparse Random Instances of Max Cut and Max 2-CSP in Linear Expected Time
Abstract. We show that a maximum cut of a random graph below the giantcomponent threshold can be found in linear space and linear expected time by a simple algorithm. In fact, the ...
Alexander D. Scott, Gregory B. Sorkin
AAAI
2008
13 years 6 months ago
Relaxed Survey Propagation: A Sum-Product Algorithm for Max-SAT
The survey propagation (SP) algorithm has been shown to work well on large instances of the random 3-SAT problem near its phase transition. It was shown that SP estimates marginal...
Hai Leong Chieu, Wee Sun Lee
JAIR
2007
132views more  JAIR 2007»
13 years 4 months ago
New Inference Rules for Max-SAT
Exact Max-SAT solvers, compared with SAT solvers, apply little inference at each node of the proof tree. Commonly used SAT inference rules like unit propagation produce a simpli...
Chu Min Li, Felip Manyà, Jordi Planes
FOCS
1995
IEEE
13 years 8 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