Finding $k$ Cuts within Twice the Optimal

  • Authors:
  • Huzur Saran;Vijay V. Vazirani

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 1995

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Abstract

Two simple approximation algorithms for the minimum $k$-cut problem are presented. Each algorithm finds a $k$ cut having weight within a factor of $(2-2/k)$ of the optimal. One of our algorithms is particularly efficient---it requires 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 $n$.