The parametric Frobenius problem

zbMath1339.11042arXiv1502.06009MaRDI QIDQ2346475

Bjarke Hammersholt Roune, Kevin M. Woods

Publication date: 2 June 2015

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06009

zbMATH Keywords

Frobenius problemquasi-polynomials

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) The Frobenius problem (11D07)

Related Items (6)

A Plethora of Polynomials: A Toolbox for Counting Problems ⋮ Bounding quantification in parametric expansions of Presburger arithmetic ⋮ The unreasonable ubiquitousness of quasi-polynomials ⋮ On parametrized families of numerical semigroups ⋮ Apéry sets of shifted numerical monoids ⋮ Parametric Presburger arithmetic: logic, combinatorics, and quasi-polynomial behavior

Cites Work

• The unreasonable ubiquitousness of quasi-polynomials
• Integer hulls of linear polyhedra and scl in families
• Note on Linear Forms
• On a linear Diophantine problem of Frobenius.
• Presburger Arithmetic, Rational Generating Functions, and Quasi-Polynomials
• Generalized Ehrhart polynomials
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