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Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

Volume 3624 of the series Lecture Notes in Computer Science pp 294-305

On the Error Parameter of Dispersers

  • Ronen GradwohlAffiliated withDepartment of Computer Science and Applied Math, Weizmann Institute of Science
  • , Guy KindlerAffiliated withInstitute for Advanced Study
  • , Omer ReingoldAffiliated withDepartment of Computer Science and Applied Math, Weizmann Institute of Science
  • , Amnon Ta-ShmaAffiliated withSchool of Computer Science, Tel-Aviv University

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Abstract

Optimal dispersers have better dependence on the error than optimal extractors. In this paper we give explicit disperser constructions that beat the best possible extractors in some parameters. Our constructions are not strong, but we show that having such explicit strong constructions implies a solution to the Ramsey graph construction problem.