Gwyneth R. Whieldon

activity

20102020

most citedCoding theory package for Macaulay2

19 citations · 43 across the 7 of their papers we have counts for

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4 papers · 1 filter

math.AC2013★ 1 cited

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…

math.AC2011★ 6 cited

Linear Quotients of the Square of the Edge Ideal of the Anticycle

Andrew H. Hoefel, Gwyneth Whieldon

Let $G$ be a graph with chordal complement and $I (G)$ its edge ideal. From work of Herzog, Hibi, and Zheng, it is known that $I (G)$ has linear quotients and all of its powers have…

math.AC2011★ 2 cited

Stabilization of Betti Tables

Gwyneth Whieldon

Let $I\subseteq R=\kk[x_1,...,x_n]$ be a homogeneous equigenerated ideal of degree $r$ . We show here that the shapes of the Betti tables of the ideals $I^{d}$ stabilize, in the sense…

math.AC2010★ 11 cited

Jump Sequences of Edge Ideals

Gwyneth Whieldon

Given an edge ideal of graph G, we show that if the first nonlinear strand in the resolution of $I_{G}$ is zero until homological stage $a_{1}$ , then the next nonlinear strand in the r…