38 citations · 46 across the 7 of their papers we have counts for
9 papers
A hypergraph characterization of nearly complete intersections
Chiara Bondi, Courtney R. Gibbons, Yuye Ke +3
Recently, nearly complete intersection ideals were defined by Boocher and Seiner to establish lower bounds on Betti numbers for monomial ideals (arXiv:1706.09866). Stone and Miller…
Divisor sequences of atoms in Krull monoids
Nicholas R. Baeth, Terri Bell, Courtney R. Gibbons +1
The divisor sequence of an irreducible element (\textit{atom}) of a reduced monoid is the sequence where, for each positive integer , den…
Fixing Numbers of Graphs and Groups
Courtney R. Gibbons, Joshua D. Laison
The fixing number of a graph is the smallest cardinality of a set of vertices such that only the trivial automorphism of fixes every vertex in . The fixing set of a…
Recursive strategy for decomposing Betti tables of complete intersections
Courtney R. Gibbons, Robert Huben, Branden Stone
We introduce a recursive decomposition algorithm for the Betti diagram of a complete intersection using the diagram of a complete intersection defined by a subset of the original g…
The Maximum Likelihood Degree of Toric Varieties
Carlos Améndola, Nathan Bliss, Isaac Burke +6
We study the maximum likelihood degree (ML degree) of toric varieties, known as discrete exponential models in statistics. By introducing scaling coefficients to the monomial param…
Rational combinations of Betti diagrams of complete intersections
Michael T. Annunziata, Courtney R. Gibbons, Cole Hawkins +1
We investigate decompositions of Betti diagrams over a polynomial ring within the framework of Boij-Söderberg theory. That is, given a Betti diagram, we determine if it is possible…