3 papers
math.AC2019
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…
math.CO2018
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…
math.AC2018
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…