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math.AC2011★ 6 cited
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…
math.AC2010
Gotzmann squarefree ideals
Andrew H. Hoefel, Jeff Mermin
We classify the squarefree ideals which are Gotzmann in a polynomial ring.
math.AC2009★ 3 cited
Gotzmann Edge Ideals
Andrew H. Hoefel
Let P = k[x_1, ..., x_n] be the polynomial ring in n variables. A homogeneous ideal I of P generated in degree d is called Gotzmann if it has the smallest possible Hilbert function…