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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 266))

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Abstract

In this paper we introduce the concept of convex optimi zation problem associated to an NP-complete set and we study the combinatorial properties of families of such problems. The notion of structure is introduced and through this notion approximability properties and a partial ordering of families of optimization problems are shown.

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© 1981 Springer-Verlag Wien

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Ausiello, G., D’Atri, A., Protasi, M. (1981). A Characterization of Reductions among Combinatorial Problems. In: Ausiello, G., Lucertini, M. (eds) Analysis and Design of Algorithms in Combinatorial Optimization. International Centre for Mechanical Sciences, vol 266. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2748-3_2

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  • DOI: https://doi.org/10.1007/978-3-7091-2748-3_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81626-4

  • Online ISBN: 978-3-7091-2748-3

  • eBook Packages: Springer Book Archive

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