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Multiway Cut and k-Cut

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Approximation Algorithms

Abstract

The theory of cuts occupies a central place in the study of exact algorithms In this chapter, we will present approximation algorithms for natural generalizations of the minimum cut problem. These generalizations are NP-hard.

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Notes

  1. E. Dahlhaus, D.S. Johnson, C.H. Papadimitriou, P.D. Seymour, and M. Yannakakis. The complexity of multiterminal cuts. SIAM Journal on Computing, 23: 864–894, 1994.

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  2. H. Saran and V.V. Vazirani. Finding k-cuts within twice the optimal. SIAM Journal on Computing, 24: 101–108, 1995.

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  3. R.E. Gomory and T.C. Hu. Multi-terminal network flows. Journal of the SIAM, 9: 551–570, 1961.

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© 2003 Springer-Verlag Berlin Heidelberg

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Vazirani, V.V. (2003). Multiway Cut and k-Cut. In: Approximation Algorithms. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04565-7_4

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  • DOI: https://doi.org/10.1007/978-3-662-04565-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08469-0

  • Online ISBN: 978-3-662-04565-7

  • eBook Packages: Springer Book Archive

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