46 citations · 46 across the 4 of their papers we have counts for
4 papers
Signature invariants of monomial ideals
Jovanny Ibarguen, Carlos E. Valencia, Rafael H. Villarreal
Let be a monomial ideal of a polynomial ring over a field and let be its signature ideal. If is not a principal ideal, we show that…
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…
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…
A note on Rees algebras and the MFMC property
I. Gitler, C. E. Valencia, R. H. Villarreal
We study irreducible representations of Rees cones and characterize the max-flow min-cut property of clutters in terms of the normality of Rees algebras and the integrality of cert…