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- Karloff–Zwick_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–Zwick_algorithm wikiPageID "3199764".
- Karloff–Zwick_algorithm wikiPageLength "2453".
- Karloff–Zwick_algorithm wikiPageOutDegree "16".
- Karloff–Zwick_algorithm wikiPageRevisionID "567673394".
- Karloff–Zwick_algorithm wikiPageWikiLink Approximation_algorithm.
- Karloff–Zwick_algorithm wikiPageWikiLink Boolean_satisfiability_problem.
- Karloff–Zwick_algorithm wikiPageWikiLink Category:Approximation_algorithms.
- Karloff–Zwick_algorithm wikiPageWikiLink Category:Probabilistic_complexity_theory.
- Karloff–Zwick_algorithm wikiPageWikiLink Computational_complexity_theory.
- Karloff–Zwick_algorithm wikiPageWikiLink Howard_Karloff.
- Karloff–Zwick_algorithm wikiPageWikiLink Johan_Håstad.
- Karloff–Zwick_algorithm wikiPageWikiLink MAX-3SAT.
- Karloff–Zwick_algorithm wikiPageWikiLink Mathematical_proof.
- Karloff–Zwick_algorithm wikiPageWikiLink Method_of_conditional_probabilities.
- Karloff–Zwick_algorithm wikiPageWikiLink PCP_theorem.
- Karloff–Zwick_algorithm wikiPageWikiLink Randomized_algorithm.
- Karloff–Zwick_algorithm wikiPageWikiLink Uri_Zwick.
- Karloff–Zwick_algorithm wikiPageWikiLinkText "Karloff–Zwick algorithm".
- Karloff–Zwick_algorithm wikiPageUsesTemplate Template:Algorithm-stub.
- Karloff–Zwick_algorithm wikiPageUsesTemplate Template:Reflist.
- Karloff–Zwick_algorithm subject Category:Approximation_algorithms.
- Karloff–Zwick_algorithm subject Category:Probabilistic_complexity_theory.
- Karloff–Zwick_algorithm hypernym Algorithm.
- Karloff–Zwick_algorithm type Software.
- Karloff–Zwick_algorithm type Algorithm.
- Karloff–Zwick_algorithm type Redirect.
- Karloff–Zwick_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–Zwick_algorithm label "Karloff–Zwick algorithm".
- Karloff–Zwick_algorithm sameAs Q6372543.
- Karloff–Zwick_algorithm sameAs m.08ysxt.
- Karloff–Zwick_algorithm sameAs Q6372543.
- Karloff–Zwick_algorithm wasDerivedFrom Karloff–Zwick_algorithm?oldid=567673394.
- Karloff–Zwick_algorithm isPrimaryTopicOf Karloff–Zwick_algorithm.