64 citations · 304 across the 49 of their papers we have counts for
69 papers
Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes
Manuel González-Sarabia, Humberto Muñoz-George, Jorge A. Ordaz +2
For projective Reed--Muller-type codes we give a global duality criterion in terms of the v-number and the Hilbert function of a vanishing ideal. As an application, we provide a gl…
Graph rings and ideals: Wolmer Vasconcelos' contributions
Maria Vaz Pinto, Rafael H. Villarreal
This is a survey article featuring some of Wolmer Vasconcelos' contributions to commutative algebra, and explaining how Vasconcelos' work and insights have contributed to the devel…
Codes parameterized by the edges of a bipartite graph with a perfect matching
Manuel Gonzalez Sarabia, Rafael H. Villarreal
In this paper we study the main characteristics of some evaluation codes parameterized by the edges of a bipartite graph with a perfect matching.
Normality criteria for monomial ideals
Luis A. Dupont, Humberto Muñoz-George, Rafael H. Villarreal
In this paper we study the normality of monomial ideals using linear programming and graph theory. We give normality criteria for monomial ideals, for ideals generated by monomials…
A duality theorem for the ic-resurgence of edge ideals
Rafael H. Villarreal
The aim of this work is to use linear programming and polyhedral geometry to prove a duality formula for the ic-resurgence of edge ideals. We show that the ic-resurgence of the edg…
Normally torsion-free edge ideals of weighted oriented graphs
Gonzalo Grisalde, Jose Martinez-Bernal, Rafael H. Villarreal
Let be the edge ideal of a weighted oriented graph , let be the underlying graph of , and let be the -th symbolic power of defined using the min…