A new and improved algorithm for the 3-cut problem

  • Authors:
  • Michel Burlet;Olivier Goldschmidt

  • Affiliations:
  • Laboratoire LEIBNIZ, IMAG, Grenoble, France;Laboratoire LEIBNIZ, IMAG, Grenoble, France

  • Venue:
  • Operations Research Letters
  • Year:
  • 1997

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Abstract

We present a O(mn^3) time exact algorithm for finding a minimum 3-cut in an edge-weighted graph. This running time compares very favorably with the best-known algorithm which takes O(mn^5) time in the worst case.