19 citations · 43 across the 7 of their papers we have counts for
7 papers
Coding theory package for Macaulay2
Taylor Ball, Eduardo Camps, Henry Chimal-Dzul +7
In this Macaulay2 \cite{M2} package we define an object called {\it linear code}. We implement functions that compute basic parameters and objects associated with a linear code, su…
Polygonal Dissections and Reversions of Series
Alison Schuetz, Gwyneth Whieldon
The Catalan numbers were first studied by Euler, in the context of enumerating triangulations of polygons . Among the many generalizations of this sequence, the Fuss…
Infinite Free Resolutions over Monomial Rings in Two Variables
Gwyneth R. Whieldon
Let M in k[x,y] be a monomial ideal M=(m_1,m_2,...,m_r), where the m_i are a minimal generating set of M. We construct an explicit free resolution of k over S=k[x,y]/M for all mono…
Partially ordered sets in Macaulay2
David Cook, Sonja Mapes, Gwyneth Whieldon
We introduce the package Posets for Macaulay2. This package provides a data structure and the necessary methods for working with partially ordered sets, also called posets. In part…
Linear Quotients of the Square of the Edge Ideal of the Anticycle
Andrew H. Hoefel, Gwyneth Whieldon
Let be a graph with chordal complement and its edge ideal. From work of Herzog, Hibi, and Zheng, it is known that has linear quotients and all of its powers have…
Stabilization of Betti Tables
Gwyneth Whieldon
Let $I\subseteq R=\kk[x_1,...,x_n]$ be a homogeneous equigenerated ideal of degree . We show here that the shapes of the Betti tables of the ideals stabilize, in the sense…