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pro vyhledávání: '"Whieldon, Gwyneth"'
Autor:
Schuetz, Alison, Whieldon, Gwyneth
Publikováno v:
Involve 9 (2016) 223-236
The Catalan numbers $C_k$ were first studied by Euler, in the context of enumerating triangulations of polygons $P_{k+2}$. Among the many generalizations of this sequence, the Fuss-Catalan numbers $C^{(d)}_k$ count enumerations of dissections of poly
Externí odkaz:
http://arxiv.org/abs/1401.7194
Autor:
Whieldon, Gwyneth R.
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 monomial ideals M, and provide recursive formulas for the Betti numbers. I
Externí odkaz:
http://arxiv.org/abs/1308.0179
Publikováno v:
JSAG 7 (2015) 9-15
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 particular, the package implements methods to enumerate many commonly stud
Externí odkaz:
http://arxiv.org/abs/1304.7999
Autor:
Whieldon, Gwyneth
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 that there exists some $D$ such that for all $d\geq D$, $\betti{i}{j+
Externí odkaz:
http://arxiv.org/abs/1106.2355
Autor:
Hoefel, Andrew H., Whieldon, Gwyneth
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 linear resolutions. For edge ideals $I(G)$ arising from graphs which d
Externí odkaz:
http://arxiv.org/abs/1106.2348
Autor:
Whieldon, Gwyneth
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 resolution is zero until homological stage $2a_1$. Additionally, we def
Externí odkaz:
http://arxiv.org/abs/1012.0108
Autor:
WHIELDON, GWYNETH
Publikováno v:
Journal of Commutative Algebra, 2014 Apr 01. 6(1), 113-126.
Externí odkaz:
https://www.jstor.org/stable/26174863
Autor:
Coon, Michael1 mcoon@ut.edu, Whieldon, Gwyneth2 whieldon@hood.edu
Publikováno v:
Atlantic Economic Journal. Dec2016, Vol. 44 Issue 4, p457-469. 13p. 6 Charts, 1 Graph.