20 citations · 45 across the 13 of their papers we have counts for
5 papers · 1 filter
Duality, a-invariants and canonical modules of rings arising from linear optimization problems
Joseph P. Brennan, Luis A. Dupont, Rafael H. Villarreal
The aim of this paper is to study integer rounding properties of various systems of linear inequalities to gain insight about the algebraic properties of Rees algebras of monomial…
Cohen-Macaulay clutters with combinatorial optimization properties and parallelizations of normal edge ideals
Luis A. Dupont, Enrique Reyes-Espinoza, Rafael H. Villarreal
Let C be a uniform clutter and let I=I(C) be its edge ideal. We prove that if C satisfies the packing property (resp. max-flow min-cut property), then there is a uniform Cohen-Maca…
Systems with the integer rounding property in normal monomial subrings
Luis A. Dupont, Carlos Renteria-Marquez, Rafael H. Villarreal
Let C be a clutter and let A be its incidence matrix. If the linear system x>=0;xA<=1 has the integer rounding property, we give a description of the canonical module and the a-inv…
Edge ideals of clique clutters of comparability graphs and the normality of monomial ideals
Luis A. Dupont, Rafael H Villarreal
Let (P,<) be a finite poset and let G be its comparability graph. If cl(G) is the clutter of maximal cliques of G, we prove that cl(G) satisfies the max-flow min-cut property and t…
Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems
Luis A. Dupont, Rafael H. Villarreal
Let C be a uniform clutter, i.e., all the edges of C have the same size, and let A be the incidence matrix of C. We denote the column vectors of A by v1,...,vq. The vertex covering…