E. Reyes

collaborators

3 papers

math.CO2026

Ehrhart Functions of Weighted Lattice Points

Jesus A. De Loera, Carlos E. Valencia, Rafael H. Villarreal +1

This paper studies three different ways to assign weights to the lattice points of a convex polytope and discusses the algebraic and combinatorial properties of the resulting weigh…

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.AC2025

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

Humberto MuÃ±oz-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…