Finding k-cuts within twice the optimal

  • Authors:
  • Huzur Saran;Vijay V. Vazirani

  • Affiliations:
  • -;-

  • Venue:
  • SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
  • Year:
  • 1991

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Abstract

Two simple approximation algorithms are presented for the minimum k-cut problem. Each algorithm finds a k-cut having weight within a factor of (2-2/k) of the optimal. One of the algorithms is particularly efficient, requiring a total of only n-1 maximum flow computations for finding a set of near-optimal k-cuts, one for each value of k between 2 and n.