P=NP?

Please always quote using this URN: urn:nbn:de:0297-zib-6939
  • Hinter der für den Uneingeweihten etwas kryptischen Frage "P = NP?" verbirgt sich das derzeit wichtigste Problem der Komplexitätstheorie. Dieser Artikel erläutert einige Aspekte der Theorie und erklärt informell, was "P = NP?" bedeutet. Es geht nicht nur um komplizierte algorithmische Mathematik und Informatik, sondern um grundsätzliche Fragen unserer Lebensumwelt. Kann man vielleicht beweisen, dass es für viele Probleme unseres Alltags keine effizienten Lösungsmethoden gibt?

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Metadaten
Author:Martin Grötschel
Document Type:ZIB-Report
Tag:P=NP; computational complexity
MSC-Classification:03-XX MATHEMATICAL LOGIC AND FOUNDATIONS / 03Dxx Computability and recursion theory / 03D15 Complexity of computation (including implicit computational complexity) [See also 68Q15, 68Q17]
68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area) / 68-01 Instructional exposition (textbooks, tutorial papers, etc.)
68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area) / 68Qxx Theory of computing / 68Q15 Complexity classes (hierarchies, relations among complexity classes, etc.) [See also 03D15, 68Q17, 68Q19]
68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area) / 68Qxx Theory of computing / 68Q25 Analysis of algorithms and problem complexity [See also 68W40]
Date of first Publication:2002/07/01
Series (Serial Number):ZIB-Report (02-26)
Published in:Erschienen in: Elemente der Mathematik, Vol. 57, Nr. 3 (2002) 96-102