3 citations · 3 across the 3 of their papers we have counts for
5 papers
Numerical semigroups, polyhedra, and posets II: locating certain families of semigroups
Jackson Autry, Abigail Ezell, Tara Gomes +4
Several recent papers have examined a rational polyhedron whose integer points are in bijection with the numerical semigroups (cofinite, additively closed subsets of the non-…
Elasticity in Apery sets
Jackson Autry, Tara Gomes, Christopher O'Neill +1
A numerical semigroup is an additive subsemigroup of the non-negative integers, containing zero, with finite complement. Its multiplicity is its smallest nonzero element. T…
Sequentially embeddable graphs
Jackson Autry, Christopher O'Neill
We call a (not necessarily planar) embedding of a graph in the plane \emph{sequential} if its vertices lie in and the line segments between adjacent vertices cont…
Membership and elasticity in certain affine monoids
Jackson Autry, Vadim Ponomarenko
For affine monoids of dimension 2 with embedding dimension 2 and 3, we study the problem of determining when a vector is an element of the monoid, and the problem of determining th…
Squarefree divisor complexes of certain numerical semigroup elements
Jackson Autry, Paige Graves, Jessie Loucks +3
A numerical semigroup is an additive subsemigroup of the non-negative integers with finite complement, and the squarefree divisor complex of an element is a simplicia…