Polynomial algorithm for the k-cut problem

  • Authors:
  • O. Goldschmidt;D. S. Hochbaum

  • Affiliations:
  • California Univ., Berkeley, CA, USA;California Univ., Berkeley, CA, USA

  • Venue:
  • SFCS '88 Proceedings of the 29th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1988

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Abstract

The k-cut problem is to find a partition of an edge weighted graph into k nonempty components, such that the total edge weight between components is minimum. This problem is NP-complete for arbitrary k and its version involving fixing a vertex in each component is NP hard even for k=3. A polynomial algorithm for the case of a fixed k is presented.