Polyhedra related to integer-convex polynomial systems |
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Authors: | Dennis Michaels Robert Weismantel |
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Affiliation: | 1. Institute for Mathematical Optimization, Otto-von-Guericke-Universit?t Magdeburg, Germany
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Abstract: | This paper deals with the reformulation of a polynomial integer program. For deducing a linear integer relaxation of such a program a class of polyhedra that are associated with nonlinear functions is introduced. A characterization of the family of polynomials for which our approach leads to an equivalent linear integer program is given. Finally the family of so-called integer-convex polynomials is defined, and polyhedra related to such a polynomial are investigated. Supported by DFG-Forschergruppe FOR-468 Received: April, 2004 |
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Keywords: | Integer polynomial programming Polyhedra Polynomial functions Integer-convex |
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