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Minimizing a Submodular Function on a Lattice

Donald M. Topkis

Monona, Wisconsin

Operations Research 1978

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.

DOI
10.1287/opre.26.2.305
Volume
26 (2)
Pages
305-321
Language
en
Export
BibTeX
Sources
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