20 citations · 45 across the 13 of their papers we have counts for
13 papers
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…
The rainbow connection number of enhanced power graph
Luis A. Dupont, Daniel G. Mendoza, Miriam Rodríguez
Let be a finite group, the enhanced power graph of , denoted by , is the graph with vertex set and two vertices are edge connected in if there exi…
On the Stanley depth of edge ideals of k-partite clutters
Luis A. Dupont, Daniel G. Mendoza
We give upper bounds for the Stanley depth of edge ideals of certain k-partite clutters. In particular, we generalize a result of Ishaq about the Stanley depth of the edge ideal of…
The combinatorial calculation of algebraic invariants of a monomial ideal
Luis A. Dupont, Daniel G. Mendoza, Miriam Rodríguez
We introduce the combinatorial Lyubeznik resolution of monomial ideals. We prove that this resolution is isomorphic to the usual Lyubezbnik resolution. As an application, we give a…
The enhanced quotient graph of the quotient of a finite group
Luis A. Dupont, Daniel G. Mendoza, Miriam Rodríguez
For a finite group with a normal subgroup , the enhanced quotient graph of , denoted by is the graph with vertex set …
Proof of a conjecture of Abdollahi-Akbari-Maimani concerning the non-commutative graph of finite groups
Luis A. Dupont, Daniel G. Mendoza, Armando Sánchez-Nungaray
The non--commuting graph of a non--abelian group is defined as follows. The vertex set of is where denotes the center of an…