Integral Function Bases
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, K\"oppe 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.