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Polytope numbers for a polytope are a sequence of nonnegative integers that are defined by the facial information of a polytope. Every polygon is triangulable and a higher dimensional analogue of this...
Edge ideals: algebraic and combinatorial properties
Edge ideal regularity associated prime sequentially Cohen-Macaulay
2011/2/25
Let C be a clutter and let I(C) R 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 estimate the regulari...
In these notes we review recent progress (and, in Section 5, we announce a new result) oncerning the statistical properties of the spectrum of Wigner random matrices.