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Mathematical Programming

, Volume 105, Issue 2–3, pp 215–232 | Cite as

Polyhedra related to integer-convex polynomial systems

Article

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.

Keywords

Integer polynomial programming Polyhedra Polynomial functions Integer-convex 

Mathematics Subject Classification (2000)

52B12 90C10 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Institute for Mathematical OptimizationOtto-von-Guericke-Universität MagdeburgGermany

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