34 citations · 239 across the 41 of their papers we have counts for
7 papers · 1 filter
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…
Discovery learning in an interdisciplinary course on finite fields and applications
Christopher O'Neill, Lily Silverstein
The authors describe their approach to teaching a course on finite fields and combinatorial applications, including block designs and error-correcting codes, using a hybrid of lect…
A sequence of quasipolynomials arising from random numerical semigroups
Calvin Leng, Christopher O'Neill
A numerical semigroup is a subset of the non-negative integers that is closed under addition. For a randomly generated numerical semigroup, the expected number of minimum generator…
The geometry and combinatorics of discrete line segment hypergraphs
Deborah Oliveros, Christopher O'Neill, Shira Zerbib
An -segment hypergraph is a hypergraph whose edges consist of consecutive integer points on line segments in . In this paper, we bound the chromatic number…
Augmented Hilbert series of numerical semigroups
Jeske Glenn, Christopher O'Neill, Vadim Ponomarenko +1
A numerical semigroup is a subset of the non-negative integers containing that is closed under addition. The Hilbert series of (a formal power series equal to the sum o…
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…
Factorization length distribution for affine semigroups I: numerical semigroups with three generators
Stephan Ramon Garcia, Christopher O'Neill, Samuel Yih
Most factorization invariants in the literature extract extremal factorization behavior, such as the maximum and minimum factorization lengths. Invariants of intermediate size, suc…