A Faster Strongly Polynomial Time Algorithm for Submodular Function Minimization

  • Authors:
  • James B. Orlin

  • Affiliations:
  • Sloan School of Management, MIT, Cambridge, MA 02139,

  • Venue:
  • IPCO '07 Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization
  • Year:
  • 2007

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Abstract

We consider the problem of minimizing a submodular function fdefined on a set Vwith nelements. We give a combinatorial algorithm that runs in O(n5EO + n6) time, where EO is the time to evaluate f(S) for some S茂戮驴 V. This improves the previous best strongly polynomial running time by more than a factor of n.