3 papers
math.AC2020
The v-number of edge ideals
Delio Jaramillo, Rafael H. Villarreal
The aim of this work is to study the v-number of edge ideals of clutters and graphs. We relate the v-number with the regularity of edge ideals and study the combinatorial structure…
math.AC2019
Evaluation codes and their basic parameters
Delio Jaramillo, Maria Vaz Pinto, Rafael H. Villarreal
The aim of this work is to give degree formulas for the generalized Hamming weights of evaluation codes and to show lower bounds for these weights. In particular, we give degree fo…
math.AC2019
On the generalized Hamming weights of certain Reed-Muller-type codes
Manuel Gonzalez-Sarabia, Delio Jaramillo, Rafael H. Villarreal
There is a nice combinatorial formula of P. Beelen and M. Datta for the -th generalized Hamming weight of an affine cartesian code. Using this combinatorial formula we give an e…