Canonical modules of certain edge subrings. - Carlos E. Valencia; Rafael H. Villarreal (Eur. J. Comb., 2003)

Normality of semigroups with some links to graph theory. - Rafael H. Villarreal (Discret. Math., 2005)

Ring graphs and toric ideals. - Isidoro Gitler; Enrique Reyes; Rafael H. Villarreal (Electron. Notes Discret. Math., 2007)

Shellable graphs and sequentially Cohen-Macaulay bipartite graphs. - Adam Van Tuyl; Rafael H. Villarreal (J. Comb. Theory A, 2008)

Ehrhart Clutters: Regularity and Max-Flow Min-Cut. - José Martínez-Bernal; Edwin O'Shea; Rafael H. Villarreal (Electron. J. Comb., 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)

Ring graphs and complete intersection toric ideals. - Isidoro Gitler; Enrique Reyes; Rafael H. Villarreal (Discret. Math., 2010)

The minimum distance of parameterized codes on projective tori. - Eliseo Sarmiento; Maria Vaz Pinto; Rafael H. Villarreal (Appl. Algebra Eng. Commun. Comput., 2011)

Vanishing ideals over graphs and even cycles - Jorge Neves; Maria Vaz Pinto; Rafael H. Villarreal (CoRR, 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)

Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems. - Luis A. Dupont; Rafael H. Villarreal (J. Comb. Optim., 2011)

Combinatorics of Cremona monomial maps. - Aron Simis; Rafael H. Villarreal (Math. Comput., 2012)

Complete Intersections in binomial and Lattice ideals. - Hiram H. Lopez; Rafael H. Villarreal (Int. J. Algebra Comput., 2013)

Affine cartesian codes. - Hiram H. Lopez; Carlos Rentería-Márquez; Rafael H. Villarreal (Des. Codes Cryptogr., 2014)

Computing the degree of a lattice ideal of dimension one. - Hiram H. López; Rafael H. Villarreal (J. Symb. Comput., 2014)

Degree and Algebraic Properties of Lattice and Matrix Ideals. - Liam O'Carroll; Francesc Planas-Vilanova; Rafael H. Villarreal (SIAM J. Discret. Math., 2014)

Minimum distance functions of graded ideals and Reed-Muller-type codes. - José Martínez-Bernal; Yuriko Pitones; Rafael H. Villarreal (CoRR, 2015)

Projective Segre codes. - Azucena Tochimani; Maria Vaz Pinto; Rafael H. Villarreal (CoRR, 2015)

Vanishing ideals over rational parameterizations. - Azucena Tochimani; Rafael H. Villarreal (CoRR, 2015)

Complete intersection vanishing ideals on sets of clutter type over finite fields. - Azucena Tochimani; Rafael H. Villarreal (CoRR, 2015)

Footprint functions of complete intersections. - Yuriko Pitones; José Martínez-Bernal; Rafael H. Villarreal (CoRR, 2016)

Direct products in projective Segre codes. - Azucena Tochimani; Maria Vaz Pinto; Rafael H. Villarreal (Finite Fields Their Appl., 2016)

Generalized minimum distance functions. - Manuel González Sarabia; José Martínez-Bernal; Rafael H. Villarreal; Carlos E. Vivares (CoRR, 2017)

Footprint and minimum distance functions. - Luis Núñez-Betancourt; Yuriko Pitones; Rafael H. Villarreal (CoRR, 2017)

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)

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)

On the generalized Hamming weights of certain Reed-Muller-type codes. - Manuel González Sarabia; Delio Jaramillo; Rafael H. Villarreal (CoRR, 2019)

A note on projective toric codes. - Delio Jaramillo; Maria Vaz Pinto; Rafael H. Villarreal (CoRR, 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. - Carlos Alberto Castillo-Guillén; Carlos Rentería-Márquez; Eliseo Sarmiento Rosales; Horacio Tapia-Recillas; Rafael H. Villarreal (Discret. Math., 2019)

Edge ideals of oriented graphs. - Huy Tài Hà; Kuei-Nuan Lin; Susan Morey; Enrique Reyes; Rafael H. Villarreal (Int. J. Algebra Comput., 2019)

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)

Linear codes over signed graphs. - José Martínez-Bernal; Miguel A. Valencia-Bucio; Rafael H. Villarreal (Des. Codes Cryptogr., 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)

Evaluation codes and their basic parameters. - Delio Jaramillo; Maria Vaz Pinto; Rafael H. Villarreal (Des. Codes Cryptogr., 2021)

The dual of an evaluation code. - Hiram H. López; Ivan Soprunov; Rafael H. Villarreal (Des. Codes Cryptogr., 2021)

The v-number of edge ideals. - Delio Jaramillo; Rafael H. Villarreal (J. Comb. Theory A, 2021)

Codes parameterized by the edges of a bipartite graph with a perfect matching. - Manuel González Sarabia; Rafael H. Villarreal (CoRR, 2022)

A duality theorem for the ic-resurgence of edge ideals. - Rafael H. Villarreal (Eur. J. Comb., 2023)

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., 2024)