6 citations · 6 across the 5 of their papers we have counts for
5 papers
Generalized Andrásfai graphs and special Betti diagrams of edge ideals
Sara Asensio, Ignacio García-Marco, Philippe Gimenez
Edge ideals of graphs were introduced by Villarreal in 1990, and have been the subject of many studies since then. In the same year, Fröberg characterized edge ideals with regulari…
Computational Aspects of the Short Resolution
Ignacio García-Marco, Philippe Gimenez, Mario González-Sánchez
Let be a polynomial ring over a field , be a homogeneous ideal with respect to a weight vector $ω= (ω_1,\ldots,ω_n) \in (\mathbb{…
Sifted degrees of the equations of the Rees module and their connection with the Artin-Rees numbers
Philippe Gimenez, Francesc Planas-Vilanova
Let be a noetherian ring, an ideal of and finitely generated -modules. The relation type of with respect to , denoted by , is th…
Proyective Cohen-Macaulay monomial curves and their affine charts
Ignacio García-Marco, Philippe Gimenez, Mario González-Sánchez
In this paper, we explore when the Betti numbers of the coordinate rings of a projective monomial curve and one of its affine charts are identical. Given an infinite field and…
Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes
Philippe Gimenez, Diego Ruano, Rodrigo San-José
We study the subfield subcodes of projective Reed-Solomon codes and their duals: we provide bases for these codes and estimate their parameters. With this knowledge, we can constru…