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2002 | OriginalPaper | Buchkapitel

NP-Completeness

verfasst von : Bernhard Korte, Jens Vygen

Erschienen in: Combinatorial Optimization

Verlag: Springer Berlin Heidelberg

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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).

Metadaten
Titel
NP-Completeness
verfasst von
Bernhard Korte
Jens Vygen
Copyright-Jahr
2002
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-21711-5_15