Rafael H. Villarreal

According to our database, Rafael H. Villarreal authored at least 39 papers between 2003 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes.

Manuel González Sarabia, Humberto Muñoz-George, Jorge A. Ordaz, Eduardo Sáenz-de-Cabezón, Rafael H. Villarreal

Des. Codes Cryptogr., November, 2024

2023

A duality theorem for the ic-resurgence of edge ideals.

Rafael H. Villarreal

Eur. J. Comb., 2023

2022

Codes parameterized by the edges of a bipartite graph with a perfect matching.

Manuel González Sarabia, Rafael H. Villarreal

CoRR, 2022

2021

The v-number of edge ideals.

Delio Jaramillo, Rafael H. Villarreal

J. Comb. Theory A, 2021

The dual of an evaluation code.

Hiram H. López, Ivan Soprunov, Rafael H. Villarreal

Des. Codes Cryptogr., 2021

Evaluation codes and their basic parameters.

Delio Jaramillo, Maria Vaz Pinto, Rafael H. Villarreal

Des. Codes Cryptogr., 2021

2020

Generalized Hamming weights of projective Reed-Muller-type codes over graphs.

José Martínez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal

Discret. Math., 2020

Linear codes over signed graphs.

José Martínez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal

Des. Codes Cryptogr., 2020

Generalized minimum distance functions and algebraic invariants of Geramita ideals.

Susan M. Cooper, Alexandra Seceleanu, Stefan O. Tohaneanu, Maria Vaz Pinto, Rafael H. Villarreal

Adv. Appl. Math., 2020

2019

Edge ideals of oriented graphs.

Huy Tài Hà, Kuei-Nuan Lin, Susan Morey, Enrique Reyes, Rafael H. Villarreal

Int. J. Algebra Comput., 2019

The dual of a constacyclic code, self dual, reversible constacyclic codes and constacyclic codes with complementary duals over finite local Frobenius non-chain rings with nilpotency index 3.

C. A. Castillo-Guillén, Carlos Rentería-Márquez, Eliseo Sarmiento Rosales, Horacio Tapia-Recillas, Rafael H. Villarreal

Discret. Math., 2019

A note on projective toric codes.

Delio Jaramillo, Maria Vaz Pinto, Rafael H. Villarreal

CoRR, 2019

On the generalized Hamming weights of certain Reed-Muller-type codes.

Manuel González Sarabia, Delio Jaramillo, Rafael H. Villarreal

CoRR, 2019

2018

The second generalized Hamming weight of some evaluation codes arising from a projective torus.

Manuel González Sarabia, Eduardo Camps, Eliseo Sarmiento, Rafael H. Villarreal

Finite Fields Their Appl., 2018

GMD functions for scheme-based linear codes and algebraic invariants of Geramita ideals.

Susan M. Cooper, Alexandra Seceleanu, Stefan O. Tohaneanu, Maria Vaz Pinto, Rafael H. Villarreal

CoRR, 2018

2017

Footprint and minimum distance functions.

Luis Núñez-Betancourt, Yuriko Pitones, Rafael H. Villarreal

CoRR, 2017

Generalized minimum distance functions.

Manuel González Sarabia, José Martínez-Bernal, Rafael H. Villarreal, Carlos E. Vivares

CoRR, 2017

2016

Direct products in projective Segre codes.

Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal

Finite Fields Their Appl., 2016

Footprint functions of complete intersections.

Yuriko Pitones, José Martínez-Bernal, Rafael H. Villarreal

CoRR, 2016

2015

Complete intersection vanishing ideals on sets of clutter type over finite fields.

Azucena Tochimani, Rafael H. Villarreal

CoRR, 2015

Vanishing ideals over rational parameterizations.

Azucena Tochimani, Rafael H. Villarreal

CoRR, 2015

Projective Segre codes.

Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal

CoRR, 2015

Minimum distance functions of graded ideals and Reed-Muller-type codes.

José Martínez-Bernal, Yuriko Pitones, Rafael H. Villarreal

CoRR, 2015

2014

Degree and Algebraic Properties of Lattice and Matrix Ideals.

Liam O'Carroll, Francesc Planas-Vilanova, Rafael H. Villarreal

SIAM J. Discret. Math., 2014

Computing the degree of a lattice ideal of dimension one.

Hiram H. López, Rafael H. Villarreal

J. Symb. Comput., 2014

Affine cartesian codes.

Hiram H. Lopez, Carlos Rentería-Márquez, Rafael H. Villarreal

Des. Codes Cryptogr., 2014

2013

Complete Intersections in binomial and Lattice ideals.

Hiram H. Lopez, Rafael H. Villarreal

Int. J. Algebra Comput., 2013

2012

Combinatorics of Cremona monomial maps.

Aron Simis, Rafael H. Villarreal

Math. Comput., 2012

2011

Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems.

Luis A. Dupont, Rafael H. Villarreal

J. Comb. Optim., 2011

Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields.

Carlos Rentería-Márquez, Aron Simis, Rafael H. Villarreal

Finite Fields Their Appl., 2011

Vanishing ideals over graphs and even cycles

Jorge Neves, Maria Vaz Pinto, Rafael H. Villarreal

CoRR, 2011

The minimum distance of parameterized codes on projective tori.

Eliseo Sarmiento, Maria Vaz Pinto, Rafael H. Villarreal

Appl. Algebra Eng. Commun. Comput., 2011

2010

Ring graphs and complete intersection toric ideals.

Isidoro Gitler, Enrique Reyes, Rafael H. Villarreal

Discret. Math., 2010

The minimum distance of parameterized codes of complete intersection vanishing ideals over finite fields

Eliseo Sarmiento, Maria Vaz Pinto, Rafael H. Villarreal

CoRR, 2010

Ehrhart Clutters: Regularity and Max-Flow Min-Cut.

José Martínez-Bernal, Edwin O'Shea, Rafael H. Villarreal

Electron. J. Comb., 2010

2008

Shellable graphs and sequentially Cohen-Macaulay bipartite graphs.

Adam Van Tuyl, Rafael H. Villarreal

J. Comb. Theory A, 2008

2007

Ring graphs and toric ideals.

Isidoro Gitler, Enrique Reyes, Rafael H. Villarreal

Electron. Notes Discret. Math., 2007

2005

Normality of semigroups with some links to graph theory.

Rafael H. Villarreal

Discret. Math., 2005

2003

Canonical modules of certain edge subrings.

Carlos E. Valencia, Rafael H. Villarreal

Eur. J. Comb., 2003