E. Reyes

activity

20062026

most citedMonomial ideals of weighted oriented graphs

32 citations · 58 across the 10 of their papers we have counts for

collaborators

17 papers

math.AC2026

Systems of parameters consisting of linear forms for monomial ideal quotients

Edwin A. Contreras, Enrique Reyes, Rafael H. Villarreal

Let $S = K [x_{1}, \dots, x_{n}]$ be a polynomial ring over a field $K$ and let $I$ be a monomial ideal of $S$ . We classify linear systems of parameters of $S / I$ over any field $K$ using l…

math.CO2025

Weighted Ehrhart functions

Enrique Reyes, Carlos E. Valencia, Rafael H. Villarreal

We give an algorithm to compute weighted Ehrhart functions of lattice polytopes for polynomial weights using Lagrange interpolation. We show how to compute generating functions of…

math.AC2024

The v-numbers and linear presentations of ideals of covers of graphs

Humberto Muñoz-George, Enrique Reyes, Rafael H. Villarreal

Let $G$ be a graph and let $J = I_{c} (G)$ be its ideal of covers. The aims of this work are to study the {\rm v}-number $v (J)$ of $J$ and to study when $J$ is linearly presented…

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 $I (G)$ of a graph $G$ the induced matching number…

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…