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- Karloff%E2%80%93Zwick_algorithm abstract "The Karloff–Zwick algorithm, in computational complexity theory, is a randomised approximation algorithm taking an instance of MAX-3SAT Boolean satisfiability problem as input. If the instance is satisfiable, then the expected weight of the assignment found is at least 7/8 of optimal. It provides strong evidence (but not a mathematical proof) that the algorithm performs equally well on arbitrary MAX-3SAT instances. Howard Karloff and Uri Zwick presented the algorithm in 1997.For the related MAX-E3SAT problem, in which all clauses in the input 3SAT formula are guaranteed to have exactly three literals, the simple randomized approximation algorithm which assigns a truth value to each variable independently and uniformly at random satisfies 7/8 of all clauses in expectation, irrespective of whether the original formula is satisfiable. Further, this simple algorithm can also be easily derandomized using the method of conditional expectations. The Karloff–Zwick algorithm, however, does not require the restriction that the input formula should have three literals in every clause.Building upon previous work on the PCP theorem, Johan Håstad showed that, assuming P ≠ NP, no polynomial-time algorithm for MAX 3SAT can achieve a performance ratio exceeding 7/8, even when restricted to satisfiable instances of the problem in which each clause contains exactly three literals. Both the Karloff–Zwick algorithm and the above simple algorithm are therefore optimal in this sense.".
- Karloff%E2%80%93Zwick_algorithm wikiPageID "3199764".
- Karloff%E2%80%93Zwick_algorithm wikiPageRevisionID "567673394".
- Karloff%E2%80%93Zwick_algorithm hasPhotoCollection Karloff–Zwick_algorithm.
- Karloff%E2%80%93Zwick_algorithm subject Category:Approximation_algorithms.
- Karloff%E2%80%93Zwick_algorithm subject Category:Probabilistic_complexity_theory.
- Karloff%E2%80%93Zwick_algorithm type Abstraction100002137.
- Karloff%E2%80%93Zwick_algorithm type Act100030358.
- Karloff%E2%80%93Zwick_algorithm type Activity100407535.
- Karloff%E2%80%93Zwick_algorithm type Algorithm105847438.
- Karloff%E2%80%93Zwick_algorithm type ApproximationAlgorithms.
- Karloff%E2%80%93Zwick_algorithm type Event100029378.
- Karloff%E2%80%93Zwick_algorithm type Procedure101023820.
- Karloff%E2%80%93Zwick_algorithm type PsychologicalFeature100023100.
- Karloff%E2%80%93Zwick_algorithm type Rule105846932.
- Karloff%E2%80%93Zwick_algorithm type YagoPermanentlyLocatedEntity.
- Karloff%E2%80%93Zwick_algorithm comment "The Karloff–Zwick algorithm, in computational complexity theory, is a randomised approximation algorithm taking an instance of MAX-3SAT Boolean satisfiability problem as input. If the instance is satisfiable, then the expected weight of the assignment found is at least 7/8 of optimal. It provides strong evidence (but not a mathematical proof) that the algorithm performs equally well on arbitrary MAX-3SAT instances.".
- Karloff%E2%80%93Zwick_algorithm label "Karloff–Zwick algorithm".
- Karloff%E2%80%93Zwick_algorithm sameAs m.08ysxt.
- Karloff%E2%80%93Zwick_algorithm sameAs Karloff–Zwick_algorithm.
- Karloff%E2%80%93Zwick_algorithm wasDerivedFrom Karloff–Zwick_algorithm?oldid=567673394.
- Karloff%E2%80%93Zwick_algorithm isPrimaryTopicOf Karloff–Zwick_algorithm.