Výsledky vyhledávání - "Autry, Jackson"

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Numerical semigroups, polyhedra, and posets II: locating certain families of semigroups

Autor: Autry, Jackson, Ezell, Abigail, Gomes, Tara, O'Neill, Christopher, Preuss, Christopher, Saluja, Tarang, Davila, Eduardo Torres

Several recent papers have examined a rational polyhedron $P_m$ whose integer points are in bijection with the numerical semigroups (cofinite, additively closed subsets of the non-negative integers) containing $m$. A combinatorial description of the

Externí odkaz: http://arxiv.org/abs/1912.04460

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Elasticity in Apery sets

Autor: Autry, Jackson, Gomes, Tara, O'Neill, Christopher, Ponomarenko, Vadim

A numerical semigroup $S$ is an additive subsemigroup of the non-negative integers, containing zero, with finite complement. Its multiplicity $m$ is its smallest nonzero element. The Apery set of $S$ is the set $\text{Ap}(S) = \{n \in S : n-m \notin

Externí odkaz: http://arxiv.org/abs/1908.06448

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Sequentially embeddable graphs

Autor: Autry, Jackson, O'Neill, Christopher

We call a (not necessarily planar) embedding of a graph $G$ in the plane \emph{sequential} if its vertices lie in $\mathbb Z^2$ and the line segments between adjacent vertices contain no interior integer points. In this note, we prove (i) a graph $G$

Externí odkaz: http://arxiv.org/abs/1812.02904

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Membership and elasticity in certain affine monoids

Autor: Autry, Jackson, Ponomarenko, Vadim

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 the elasticity of a monoid element.

Externí odkaz: http://arxiv.org/abs/1812.02854

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Squarefree divisor complexes of certain numerical semigroup elements

Autor: Autry, Jackson, Graves, Paige, Loucks, Jessie, O'Neill, Christopher, Ponomarenko, Vadim, Yih, Samuel

Publikováno v: Involve 14 (2021) 1-9

A numerical semigroup $S$ is an additive subsemigroup of the non-negative integers with finite complement, and the squarefree divisor complex of an element $m \in S$ is a simplicial complex $\Delta_m$ that arises in the study of multigraded Betti num

Externí odkaz: http://arxiv.org/abs/1804.06632

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