2002 | OriginalPaper | Buchkapitel
NP-Completeness
verfasst von : Bernhard Korte, Jens Vygen
Erschienen in: Combinatorial Optimization
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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For many combinatorial optimization problems a polynomial-time algorithm is known; the most important ones are presented in this book. However, there are also many important problems for which no polynomial-time algorithm is known. Although we cannot prove that none exists we can show that a polynomial-time algorithm for one “hard” (more precisely: NP-hard) problem would imply a polynomial-time algorithm for almost all problems discussed in this book (more precisely: all NP-easy problems).