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SODA
2003
ACM
125views Algorithms» more  SODA 2003»
15 years 3 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...
SIAMCOMP
2008
133views more  SIAMCOMP 2008»
15 years 1 months ago
A Deterministic Subexponential Algorithm for Solving Parity Games
The existence of polynomial time algorithms for the solution of parity games is a major open problem. The fastest known algorithms for the problem are randomized algorithms that r...
Marcin Jurdzinski, Mike Paterson, Uri Zwick
ECCC
2011
190views ECommerce» more  ECCC 2011»
14 years 5 months ago
Optimal heuristic algorithms for the image of an injective function
The existence of optimal algorithms is not known for any decision problem in NP \ P. We consider the problem of testing the membership in the image of an injective function. We co...
Edward A. Hirsch, Dmitry Itsykson, Valeria Nikolae...
TCS
2010
15 years 5 hour ago
Comparing notions of randomness
Abstract. It is an open problem in the area of effective (algorithmic) randomness whether Kolmogorov-Loveland randomness coincides with Martin-L¨of randomness. Joe Miller and And...
Bart Kastermans, Steffen Lempp
APPROX
2011
Springer
234views Algorithms» more  APPROX 2011»
14 years 1 months ago
Streaming Algorithms with One-Sided Estimation
Abstract. We study the space complexity of randomized streaming algorithms that provide one-sided approximation guarantees; e.g., the algorithm always returns an overestimate of th...
Joshua Brody, David P. Woodruff