3 citations · 3 across the 3 of their papers we have counts for
3 papers
The v-numbers and linear presentations of ideals of covers of graphs
Humberto Muñoz-George, Enrique Reyes, Rafael H. Villarreal
Let be a graph and let be its ideal of covers. The aims of this work are to study the {\rm v}-number of and to study when is linearly presented…
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…
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…