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Knapsack

  • Vijay V. Vazirani
Chapter

Abstract

In Chapter 1 we mentioned that some NP-hard optimization problems allow approximability to any required degree. In this chapter, we will formalize this notion and will show that the knapsack problem admits such an approximability.

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Notes

  1. 141.
    O.H. Ibarra and C.E. Kim. Fast approximation algorithms for the knapsack and sum of subset problems. Journal of the ACM, 22: 463–468, 1975.MathSciNetCrossRefGoogle Scholar
  2. 98.
    M.R. Garey and D.S. Johnson. Strong NP-completeness results: motivation, examples, and implications. Journal of the ACM, 25: 499–508, 1978.MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Vijay V. Vazirani
    • 1
  1. 1.Georgia Institute of TechnologyCollege of ComputingAtlantaUSA

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