46 citations · 61 across the 7 of their papers we have counts for
7 papers
Complete Intersection Toric Ideals of Oriented Graphs and Chorded-Theta Subgraphs
I. Gitler, E. Reyes, J. A. Vega
Let be a finite, simple graph. We consider for each oriented graph associated to an orientation of the edges of , the toric ideal $P_{G_{\cal O…
On 2-partitionable clutters and the MFMC property
Alejandro Flores-Méndez, Isidoro Gitler, Enrique Reyes
We introduce 2-partitionable clutters as the simplest case of the class of -partitionable clutters and study some of their combinatorial properties. In particular, we study prop…
Blowup algebras of square-free monomial ideals and some links to combinatorial optimization problems
I. Gitler, E. Reyes, R. H. Villarreal
Let I=(x^{v_1},...,x^{v_q} be a square-free monomial ideal of a polynomial ring K[x_1,...,x_n] over an arbitrary field K and let A be the incidence matrix with column vectors {v_1}…
Ring graphs and complete intersection toric ideals
Isidoro Gitler, Enrique Reyes, Rafael H. Villarreal
We study the family of graphs whose number of primitive cycles equals its cycle rank. It is shown that this family is precisely the family of ring graphs. Then we study the complet…
Hexagonal Tilings and Locally C6 Graphs
D. Garijo, I. Gitler, A. Marquez +1
We give a complete classification of hexagonal tilings and locally C6 graphs, by showing that each of them has a natural embedding in the torus or in the Klein bottle. We also show…
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…