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math.AC2021
Induced matchings and the v-number of graded ideals
Gonzalo Grisalde, Enrique Reyes, Rafael H. Villarreal
We give a formula for the v-number of a graded ideal that can be used to compute this number. Then we show that for the edge ideal of a graph the induced matching number…
math.CO2021
Gorenstein homogeneous subrings of graphs
Lourdes Cruz, Enrique Reyes, Jonathan Toledo
Let be a connected simple graph, with vertices such that is its homogeneous monomial subring. We prove that if is normal and Gorenstein, then is unmixed w…