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- W2024953068 abstract "The abstract linear duality model of Carvalho and Trotter is extended to accornodate a duality relation shared by point sets and families of (possibly) nonlinear functions. Elementary properties of the general (linear) are established along with results linking finiteness conditions which correspond to well-known (linear) relations of Weyl, Farkas, Minkowski, Lehman and Fulkerson. The particular instance of integer programming duality serves as the main motivation for the general model; duality between finitely generated integral monoids and finite families of Chvatal functions is established in direct analogy to the classical weyl- Minkowski auaiity of iiniteiy generated and polyhedral cones. Affine versions of the iniegrai monoid duality results are developed, i.e., duality relations for the integral elements of rational polyhedra." @default.
- W2024953068 created "2016-06-24" @default.
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- W2024953068 date "1994-01-01" @default.
- W2024953068 modified "2023-09-26" @default.
- W2024953068 title "Weyl-minkowski duality for integarl monoids*" @default.
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- W2024953068 doi "https://doi.org/10.1080/02331939408843925" @default.
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