A numerical semigroup is an additive subsemigroup of the non-negative integers. In this
article, we consider parametrized families of numerical semigroups of the form P n=〈 f 1 …

A numerical semigroup $ M $ is a subset of the non-negative integers that is closed under
addition. A factorization of $ n\in M $ is an expression of $ n $ as a sum of generators of $ M …

A wide variety of problems in combinatorics and discrete optimization depend on counting
the set S of integer points in a polytope, or in some more general object constructed via …

An affine semigroup is a finitely generated subsemigroup of (ℤ≥ 0 d,+), and a numerical
semigroup is an affine semigroup with d= 1. A growing body of recent work examines shifted …

This work investigates the algebraic structure of affine semigroups (additive subsemigroups
of Z d≥ 0) using minimal presentations (which encapsulates the minimal trades of a given …