3 citations · 6 across the 7 of their papers we have counts for
8 papers
Classifying Nearly Complete Intersection Ideals Generated in Degree Two
Charlie Miller, Branden Stone
Nearly complete intersection ideals were introduced by A. Boocher and J. Seiner (2018) and defines a special class of monomial ideals in a polynomial ring. These ideals were used t…
Generalized Multiplicative Indices of Polycyclic Aromatic Hydrocarbons and Benzeniod Systems
V. R. Kulli, Branden Stone, Shaohui Wang +1
Many types of topological indices such as degree-based topological indices, distance-based topological indices and counting related topological indices are explored during past rec…
Sequences defined by h-vectors
Thomas Enkosky, Branden Stone
In this paper we consider the sequence whose n^{th} term is the number of h-vectors of length n. We show that the n^{th} term of this sequence is bounded above by the n^{th} Fibona…
Non-Gorenstein isolated singularities of graded countable Cohen-Macaulay type
Branden Stone
In this paper we show a partial answer the a question of C. Huneke and G. Leuschke (2003): Let R be a standard graded Cohen-Macaulay ring of graded countable Cohen-Macaulay represe…
Super-stretched and graded countable Cohen-Macaulay type
Branden Stone
We define what it means for a Cohen-Macaulay ring to to be super-stretched and show that Cohen-Macaulay rings of graded countable Cohen-Macaulay type are super-stretched. We use th…
Non-simplicial decompositions of Betti diagrams of complete intersections
Courtney Gibbons, Jack Jeffries, Sarah Mayes +3
We investigate decompositions of Betti diagrams over a polynomial ring within the framework of Boij--Soederberg theory. That is, given a Betti diagram, we decompose it into pure di…
The QuillenSuslin Package for Macaulay2
Brett Barwick, Branden Stone
A supplemental paper detailing the QuillenSuslin package for Macaulay2. The QuillenSuslin package for Macaulay2 provides the ability to compute a free basis for a projective module…
Ideals with Larger Projective Dimension and Regularity
Jesse Beder, Jason McCullough, Luis Nunez-Betancourt +3
We define a family of homogeneous ideals with large projective dimension and regularity relative to the number of generators and their common degree. This family subsumes and impro…