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Minimizing a Submodular Function on a Lattice


  • Donald M. Topkis

    (Monona, Wisconsin)


This paper gives general conditions under which a collection of optimization problems, with the objective function and the constraint set depending on a parameter, has optimal solutions that are an isotone function of the parameter. Relating to this, we present a theory that explores and elaborates on the problem of minimizing a submodular function on a lattice.

Suggested Citation

  • Donald M. Topkis, 1978. "Minimizing a Submodular Function on a Lattice," Operations Research, INFORMS, vol. 26(2), pages 305-321, April.
  • Handle: RePEc:inm:oropre:v:26:y:1978:i:2:p:305-321
    DOI: 10.1287/opre.26.2.305

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