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math.AC2010
Minimal Reductions and Cores of Edge Ideals
Louiza Fouli, Susan Morey
We study minimal reductions of edge ideals of graphs and determine restrictions on the coefficients of the generators of these minimal reductions. We prove that when is not bas…
math.AC2010★ 41 cited
Edge ideals: algebraic and combinatorial properties
Susan Morey, Rafael H. Villarreal
Let C be a clutter and let I(C) be its edge ideal. This is a survey paper on the algebraic and combinatorial properties of R/I(C) and C, respectively. We give a criterion to estima…