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ORCIDRafael H. Villarreal
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2020 – today
- 2024
[j26]Manuel González Sarabia, Humberto Muñoz-George, Jorge A. Ordaz, Eduardo Sáenz-de-Cabezón, Rafael H. Villarreal
:
Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes. Des. Codes Cryptogr. 92(11): 3317-3353 (2024)- 2023
- [j25]Rafael H. Villarreal:
A duality theorem for the ic-resurgence of edge ideals. Eur. J. Comb. 109: 103656 (2023) - [i20]Manuel González Sarabia, Humberto Muñoz-George, Jorge A. Ordaz, Eduardo Sáenz-de-Cabezón, Rafael H. Villarreal:
Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes. CoRR abs/2308.13728 (2023) - 2022
- [i19]Manuel González Sarabia, Rafael H. Villarreal:
Codes parameterized by the edges of a bipartite graph with a perfect matching. CoRR abs/2209.12846 (2022) - 2021
- [j24]Delio Jaramillo, Maria Vaz Pinto, Rafael H. Villarreal:
Evaluation codes and their basic parameters. Des. Codes Cryptogr. 89(2): 269-300 (2021) - [j23]Hiram H. López, Ivan Soprunov, Rafael H. Villarreal:
The dual of an evaluation code. Des. Codes Cryptogr. 89(7): 1367-1403 (2021) - [j22]Delio Jaramillo, Rafael H. Villarreal:
The v-number of edge ideals. J. Comb. Theory A 177: 105310 (2021) - 2020
- [j21]Susan M. Cooper, Alexandra Seceleanu, Stefan O. Tohaneanu, Maria Vaz Pinto, Rafael H. Villarreal:
Generalized minimum distance functions and algebraic invariants of Geramita ideals. Adv. Appl. Math. 112 (2020) - [j20]José Martínez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal:
Linear codes over signed graphs. Des. Codes Cryptogr. 88(2): 273-296 (2020) - [j19]José Martínez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal:
Generalized Hamming weights of projective Reed-Muller-type codes over graphs. Discret. Math. 343(1): 111639 (2020) - [i18]Hiram H. López, Ivan Soprunov, Rafael H. Villarreal:
The dual of an evaluation code. CoRR abs/2012.10016 (2020)
2010 – 2019
- 2019
- [j18]Carlos Alberto Castillo-Guillén, Carlos Rentería-Márquez, Eliseo Sarmiento Rosales, Horacio Tapia-Recillas, Rafael H. Villarreal:
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. Discret. Math. 342(8): 2283-2296 (2019) - [j17]Huy Tài Hà, Kuei-Nuan Lin, Susan Morey, Enrique Reyes, Rafael H. Villarreal:
Edge ideals of oriented graphs. Int. J. Algebra Comput. 29(3): 535-559 (2019) - [i17]José Martínez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal:
Linear codes over signed graphs. CoRR abs/1904.09487 (2019) - [i16]Manuel González Sarabia, Delio Jaramillo, Rafael H. Villarreal:
On the generalized Hamming weights of certain Reed-Muller-type codes. CoRR abs/1905.12136 (2019) - [i15]Delio Jaramillo, Maria Vaz Pinto, Rafael H. Villarreal:
A note on projective toric codes. CoRR abs/1907.13217 (2019) - 2018
- [j16]Manuel González Sarabia, Eduardo Camps, Eliseo Sarmiento, Rafael H. Villarreal:
The second generalized Hamming weight of some evaluation codes arising from a projective torus. Finite Fields Their Appl. 52: 370-394 (2018) - [i14]José Martínez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal:
Generalized Hamming weights of projective Reed-Muller-type codes over graphs. CoRR abs/1812.04106 (2018) - [i13]Susan M. Cooper, Alexandra Seceleanu, Stefan O. Tohaneanu, Maria Vaz Pinto, Rafael H. Villarreal:
GMD functions for scheme-based linear codes and algebraic invariants of Geramita ideals. CoRR abs/1812.06529 (2018) - 2017
- [i12]Manuel González Sarabia, José Martínez-Bernal, Rafael H. Villarreal, Carlos E. Vivares:
Generalized minimum distance functions. CoRR abs/1707.03285 (2017) - [i11]Luis Núñez-Betancourt, Yuriko Pitones, Rafael H. Villarreal:
Footprint and minimum distance functions. CoRR abs/1712.00387 (2017) - 2016
- [j15]Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal:
Direct products in projective Segre codes. Finite Fields Their Appl. 39: 96-110 (2016) - [i10]Yuriko Pitones, José Martínez-Bernal, Rafael H. Villarreal:
Footprint functions of complete intersections. CoRR abs/1601.07604 (2016) - [i9]Manuel González Sarabia, Eduardo Camps, Eliseo Sarmiento, Rafael H. Villarreal:
The second generalized Hamming weight of some evaluation codes arising from a projective torus. CoRR abs/1611.06405 (2016) - 2015
- [i8]Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal:
Projective Segre codes. CoRR abs/1501.01692 (2015) - [i7]Azucena Tochimani, Rafael H. Villarreal:
Vanishing ideals over rational parameterizations. CoRR abs/1502.05451 (2015) - [i6]Azucena Tochimani, Rafael H. Villarreal:
Complete intersection vanishing ideals on sets of clutter type over finite fields. CoRR abs/1503.01404 (2015) - [i5]José Martínez-Bernal, Yuriko Pitones, Rafael H. Villarreal:
Minimum distance functions of graded ideals and Reed-Muller-type codes. CoRR abs/1512.06868 (2015) - 2014
- [j14]Hiram H. Lopez, Carlos Rentería-Márquez, Rafael H. Villarreal:
Affine cartesian codes. Des. Codes Cryptogr. 71(1): 5-19 (2014) - [j13]Hiram H. López, Rafael H. Villarreal:
Computing the degree of a lattice ideal of dimension one. J. Symb. Comput. 65: 15-28 (2014) - [j12]Liam O'Carroll, Francesc Planas-Vilanova, Rafael H. Villarreal:
Degree and Algebraic Properties of Lattice and Matrix Ideals. SIAM J. Discret. Math. 28(1): 394-427 (2014) - 2013
- [j11]Hiram H. Lopez, Rafael H. Villarreal:
Complete Intersections in binomial and Lattice ideals. Int. J. Algebra Comput. 23(6): 1419-1430 (2013) - 2012
- [j10]Aron Simis, Rafael H. Villarreal:
Combinatorics of Cremona monomial maps. Math. Comput. 81(279): 1857-1867 (2012) - [i4]Hiram H. Lopez, Carlos Rentería-Márquez, Rafael H. Villarreal:
Affine cartesian codes. CoRR abs/1202.0085 (2012) - [i3]Hiram H. Lopez, Rafael H. Villarreal:
Computing the degree of a lattice ideal of dimension one. CoRR abs/1206.1892 (2012) - 2011
- [j9]Eliseo Sarmiento, Maria Vaz Pinto, Rafael H. Villarreal:
The minimum distance of parameterized codes on projective tori. Appl. Algebra Eng. Commun. Comput. 22(4): 249-264 (2011) - [j8]Carlos Rentería-Márquez, Aron Simis, Rafael H. Villarreal:
Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields. Finite Fields Their Appl. 17(1): 81-104 (2011) - [j7]Luis A. Dupont, Rafael H. Villarreal:
Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems. J. Comb. Optim. 21(3): 269-292 (2011) - [i2]Jorge Neves, Maria Vaz Pinto, Rafael H. Villarreal:
Vanishing ideals over graphs and even cycles. CoRR abs/1111.6278 (2011) - 2010
- [j6]José Martínez-Bernal, Edwin O'Shea, Rafael H. Villarreal:
Ehrhart Clutters: Regularity and Max-Flow Min-Cut. Electron. J. Comb. 17(1) (2010) - [j5]Isidoro Gitler, Enrique Reyes, Rafael H. Villarreal:
Ring graphs and complete intersection toric ideals. Discret. Math. 310(3): 430-441 (2010) - [i1]Eliseo Sarmiento, Maria Vaz Pinto, Rafael H. Villarreal:
The minimum distance of parameterized codes of complete intersection vanishing ideals over finite fields. CoRR abs/1009.4966 (2010)
2000 – 2009
- 2008
- [j4]Adam Van Tuyl, Rafael H. Villarreal:
Shellable graphs and sequentially Cohen-Macaulay bipartite graphs. J. Comb. Theory A 115(5): 799-814 (2008) - 2007
- [j3]Isidoro Gitler, Enrique Reyes, Rafael H. Villarreal:
Ring graphs and toric ideals. Electron. Notes Discret. Math. 28: 393-400 (2007) - 2005
- [j2]Rafael H. Villarreal:
Normality of semigroups with some links to graph theory. Discret. Math. 302(1-3): 267-284 (2005) - 2003
- [j1]Carlos E. Valencia, Rafael H. Villarreal:
Canonical modules of certain edge subrings. Eur. J. Comb. 24(5): 471-487 (2003)
Coauthor Index
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