Integral Function Bases
Raymond Hemmecke, Robert Weismantel
Abstract
Integral bases, a minimal set of solutions to Ax≤ b, x∈n that generate any other solution to Ax≤ b, x∈n, as a nonnegative integer linear combination, are always finite and are at the core of the Integral Basis Method introduced by Haus, Köppe and Weismantel. In this paper we present one generalization of the notion of integral bases to the nonlinear situation with the intention of creating an integral basis method also for nonlinear integer programming.
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