Lourdes Cruz

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math.CO2021

Gorenstein homogeneous subrings of graphs

Lourdes Cruz, Enrique Reyes, Jonathan Toledo

Let $G = (V, E)$ be a connected simple graph, with $n$ vertices such that $S$ is its homogeneous monomial subring. We prove that if $S$ is normal and Gorenstein, then $G$ is unmixed w…

math.CO2020

Unmixedness of some weighted oriented graphs

Lourdes Cruz, Yuriko Pitones, Enrique Reyes

Let $D = (G, O, w)$ be a weighted oriented graph whose edge ideal is $I (D)$ . In this paper, we characterize the unmixed property of $I (D)$ for each one of the following cases…