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Input-Dependent and Asymptotic Approximation

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Complexity and Approximation

Abstract

IN THE previous two chapters we have seen examples of Npo problems that can be approximated either within a specific constant factor or within any constant factor. We also saw examples of Npo problems for which no approximation algorithm exists (unless P=Np) and examples of Npo problems for which an approximation algorithm but no approxima­tion scheme exists (unless P=Np). To deal with these two latter kinds of problem, in this chapter we will relax the constraint on the performance ratio in two ways.

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© 1999 Springer-Verlag Berlin Heidelberg

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Ausiello, G., Marchetti-Spaccamela, A., Crescenzi, P., Gambosi, G., Protasi, M., Kann, V. (1999). Input-Dependent and Asymptotic Approximation. In: Complexity and Approximation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58412-1_4

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  • DOI: https://doi.org/10.1007/978-3-642-58412-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63581-6

  • Online ISBN: 978-3-642-58412-1

  • eBook Packages: Springer Book Archive

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