Rafael H. Villarreal

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All published works

Action	Title	Year	Authors
+ PDF Chat	Symbolic powers: Simis and weighted monomial ideals	2025	Fernando O. Méndez Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	Ehrhart Functions of Weighted Lattice Points	2024	Jesús A. De Loera Carlos E. Valencia Rafael H. Villarreal Chengyang Wang
+ PDF Chat	The v-numbers and linear presentations of ideals of covers of graphs	2024	Humberto Muñoz-George Enrique Reyes Rafael H. Villarreal
+	Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed–Muller-type codes	2024	Manuel González Sarabia Humberto Muñoz-George Jorge A. Ordaz Eduardo Sáenz‐de‐Cabezón Rafael H. Villarreal
+ PDF Chat	Symbolic powers: Simis and weighted monomial ideals	2024	Fernando O. Méndez Maria Vaz Pinto Rafael H. Villarreal
+	The signature of a monomial ideal	2024	Jovanny Ibarguen Daniel S. Moran Carlos E. Valencia Rafael H. Villarreal
+	Normally torsion-free edge ideals of weighted oriented graphs	2023	Gonzalo Grisalde José Martı́nez-Bernal Rafael H. Villarreal
+	Graph rings and ideals: Wolmer Vasconcelos contributions	2023	Maria Vaz Pinto Rafael H. Villarreal
+	Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes	2023	Manuel González Sarabia Humberto Muñoz-George Jorge A. Ordaz Eduardo Sáenz‐de‐Cabezón Rafael H. Villarreal
+ PDF Chat	A duality theorem for the ic-resurgence of edge ideals	2022	Rafael H. Villarreal
+ PDF Chat	Normality Criteria for Monomial Ideals	2022	Luis A. Dupont Humberto Muñoz-George Rafael H. Villarreal
+ PDF Chat	Hamming polynomial of a demimatroid	2022	José Martı́nez-Bernal Miguel A. Valencia-Bucio Rafael H. Villarreal
+ PDF Chat	Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals	2022	Gonzalo Grisalde Alexandra Seceleanu Rafael H. Villarreal
+	A duality theorem for the ic-resurgence of edge ideals	2022	Rafael H. Villarreal
+	Normality criteria for monomial ideals	2022	Luis A. Dupont Humberto Muñoz-George Rafael H. Villarreal
+	Codes parameterized by the edges of a bipartite graph with a perfect matching	2022	Manuel González Sarabia Rafael H. Villarreal
+ PDF Chat	Induced Matchings and the v-Number of Graded Ideals	2021	Gonzalo Grisalde Enrique Reyes Rafael H. Villarreal
+ PDF Chat	Bounds for the minimum distance function	2021	Luis Núñez‐Betancourt Yuriko Pitones Rafael H. Villarreal
+	Induced matchings and the v-number of graded ideals	2021	Gonzalo Grisalde Enrique Reyes Rafael H. Villarreal
+ PDF Chat	Unmixed and Cohen–Macaulay Weighted Oriented Kőnig Graphs	2021	Yuriko Pitones Enrique Reyes Rafael H. Villarreal
+	Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals	2021	Gonzalo Grisalde Alexandra Seceleanu Rafael H. Villarreal
+ PDF Chat	The dual of an evaluation code	2021	Hiram H. López Ivan Soprunov Rafael H. Villarreal
+	Normally torsion-free edge ideals of weighted oriented graphs	2021	Gonzalo Grisalde José Martı́nez-Bernal Rafael H. Villarreal
+	Induced matchings and the v-number of graded ideals	2021	Gonzalo Grisalde Enríque G. Reyes Rafael H. Villarreal
+	Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals	2021	Gonzalo Grisalde Alexandra Seceleanu Rafael H. Villarreal
+	The dual of an evaluation code.	2020	Hiram H. López Ivan Soprunov Rafael H. Villarreal
+	Bounds for the Minimum Distance Function.	2020	Luis Núñez-Betancourt Yuriko Pitones Rafael H. Villarreal
+ PDF Chat	Evaluation codes and their basic parameters	2020	Delio Jaramillo Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	Regularity of the vanishing ideal over a parallel composition of paths	2020	Antonio Macchia Jorge Neves Maria Vaz Pinto Rafael H. Villarreal
+	The v-number of edge ideals	2020	Delio Jaramillo-Velez Rafael H. Villarreal
+	Joins, ears and Castelnuovo–Mumford regularity	2020	Jorge Neves Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	On the generalized Hamming weights of certain Reed–Muller-type codes	2020	Manuel González Sarabia Delio Jaramillo Rafael H. Villarreal
+	The v-number of edge ideals	2020	Delio Jaramillo-Velez Rafael H. Villarreal
+	Bounds for the Minimum Distance Function	2020	Luis Núñez-Betancourt Yuriko Pitones Rafael H. Villarreal
+	The v-number of edge ideals	2020	Delio Jaramillo-Velez Rafael H. Villarreal
+ PDF Chat	Linear codes over signed graphs	2019	José Martı́nez-Bernal Miguel A. Valencia-Bucio Rafael H. Villarreal
+	Unmixed and Cohen--Macaulay weighted oriented K\"onig graphs	2019	Yuriko Pitones Enrique Reyes Rafael H. Villarreal
+ PDF Chat	Generalized minimum distance functions and algebraic invariants of Geramita ideals	2019	Susan Cooper Alexandra Seceleanu Ştefan Tohǎneanu Maria Vaz Pinto Rafael H. Villarreal
+	Joins, Ears and Castelnuovo-Mumford regularity	2019	Jorge Neves Maria Vaz Pinto Rafael H. Villarreal
+	Generalized Hamming weights of projective Reed–Muller-type codes over graphs	2019	José Martı́nez-Bernal Miguel A. Valencia-Bucio Rafael H. Villarreal
+	A note on projective toric codes.	2019	Delio Jaramillo Maria Vaz Pinto Rafael H. Villarreal
+	Projective toric codes, affine Reed-Muller-type codes and squarefree evaluation codes	2019	Delio Jaramillo Maria Vaz Pinto Rafael H. Villarreal
+	On the generalized Hamming weights of certain Reed-Muller-type codes.	2019	Manuel González Sarabia Delio Jaramillo-Velez 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	2019	C. A. Castillo-Guillén Carlos Rentería-Márquez E. Sarmiento-Rosales Horacio Tapia-Recillas Rafael H. Villarreal
+	Linear codes over signed graphs.	2019	José Martı́nez-Bernal Miguel A. Valencia Rafael H. Villarreal
+ PDF Chat	Vanishing Ideals over Finite Fields	2019	Azucena Tochimani Rafael H. Villarreal
+ PDF Chat	Depth and Regularity of Monomial Ideals via Polarization and Combinatorial Optimization	2019	José Martı́nez-Bernal Susan Morey Rafael H. Villarreal Carlos E. Vivares
+	Unmixed and Cohen--Macaulay weighted oriented König graphs	2019	Yuriko Pitones Enríque G. Reyes Rafael H. Villarreal
+	Joins, Ears and Castelnuovo-Mumford regularity	2019	Jorge Neves Maria V. Pinto Rafael H. Villarreal
+	Evaluation codes and their basic parameters	2019	Delio Jaramillo Maria Vaz Pinto Rafael H. Villarreal
+	On the generalized Hamming weights of certain Reed-Muller-type codes	2019	Manuel González Sarabia Delio Jaramillo Rafael H. Villarreal
+	Linear codes over signed graphs	2019	José Martı́nez-Bernal Miguel A. Valencia Rafael H. Villarreal
+	Hamming Polynomial of a Demimatroid	2019	José Martı́nez-Bernal Miguel A. Valencia-Bucio Rafael H. Villarreal
+ PDF Chat	Indices of normalization of ideals	2018	Claudia Polini Benjamin J. Ulrich Wolmer V. Vasconcelos Rafael H. Villarreal
+	GMD functions for scheme-based linear codes and algebraic invariants of Geramita ideals.	2018	Susan Cooper Alexandra Seceleanu Ştefan Tohǎneanu Maria Vaz Pinto Rafael H. Villarreal
+	Generalized minimum distance functions and algebraic invariants of Geramita ideals	2018	Susan Cooper Alexandra Seceleanu Ştefan Tohǎneanu Maria Vaz Pinto Rafael H. Villarreal
+	Generalized Hamming weights of projective Reed--Muller-type codes over graphs	2018	José Martı́nez-Bernal Miguel A. Valencia-Bucio Rafael H. Villarreal
+ PDF Chat	Edge ideals of oriented graphs	2018	Huy Tài Hà Kuei-Nuan Lin Susan Morey Enrique Reyes Rafael H. Villarreal
+ PDF Chat	Generalized minimum distance functions	2018	Manuel González Sarabia José Martı́nez-Bernal Rafael H. Villarreal Carlos E. Vivares
+	Rees Algebras and Normality	2018	Rafael H. Villarreal
+	The second generalized Hamming weight of some evaluation codes arising from a projective torus	2018	Manuel González Sarabia Eduardo Camps-Moreno Eliseo Sarmiento Rafael H. Villarreal
+	Edge ideals of oriented graphs.	2018	Huy Tài Hà Kuei-Nuan Lin Susan Morey Enrique Reyes Rafael H. Villarreal
+	Depth and regularity of monomial ideals via polarization and combinatorial optimization	2018	José Martı́nez-Bernal Susan Morey Rafael H. Villarreal Carlos E. Vivares
+	Symbolic Powers of Monomial Ideals and Cohen-Macaulay Vertex-Weighted Digraphs	2018	Philippe Giménez José Martı́nez-Bernal Aron Simis Rafael H. Villarreal Carlos E. Vivares
+	Generalized minimum distance functions and algebraic invariants of Geramita ideals	2018	Susan M. Cooper Alexandra Seceleanu Ştefan Tohǎneanu Maria V. Pinto Rafael H. Villarreal
+	Generalized Hamming weights of projective Reed--Muller-type codes over graphs	2018	José Martı́nez-Bernal Miguel A. Valencia-Bucio Rafael H. Villarreal
+	Depth and regularity of monomial ideals via polarization and combinatorial optimization	2018	José Martı́nez-Bernal Susan Morey Rafael H. Villarreal Carlos E. Vivares
+	Edge ideals of oriented graphs	2018	Huy Tài Hà Kuei-Nuan Lin Susan Morey Enríque G. Reyes Rafael H. Villarreal
+ PDF Chat	Minimum distance functions of complete intersections	2017	José Martı́nez-Bernal Yuriko Pitones Rafael H. Villarreal
+ PDF Chat	Monomial Ideals and the Computation of Multiplicities	2017	Donatella Delfino A. Taylor Wolmer V. Vasconcelos N. Weininger Rafael H. Villarreal
+	Generalized minimum distance functions.	2017	Manuel González Sarabia José Martı́nez-Bernal Rafael H. Villarreal Carlos E. Vivares
+	Cohen-Macaulay vertex-weighted digraphs	2017	Rafael H. Villarreal Carlos E. Vivares
+	Footprint and minimum distance functions	2017	Luis Núñez-Betancourt Yuriko Pitones Rafael H. Villarreal
+	Generalized minimum distance functions	2017	Manuel González Sarabia José Martı́nez-Bernal Rafael H. Villarreal Carlos E. Vivares
+	Symbolic powers of monomial ideals and Cohen-Macaulay vertex-weighted digraphs	2017	Philippe Giménez José Martı́nez-Bernal Aron Simis Rafael H. Villarreal Carlos E. Vivares
+ PDF Chat	Minimum distance functions of graded ideals and Reed–Muller-type codes	2016	José Martı́nez-Bernal Yuriko Pitones Rafael H. Villarreal
+	Regularity of the vanishing ideal over a parallel composition of paths	2016	Antonio Macchia Jorge Neves Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	On complete monomial ideals	2016	Philippe Giménez Aron Simis Wolmer V. Vasconcelos Rafael H. Villarreal
+	Footprint functions of complete intersections.	2016	Yuriko Pitones José Martı́nez-Bernal Rafael H. Villarreal
+	Minimum distance functions of complete intersections	2016	Yuriko Pitones José Martı́nez-Bernal Rafael H. Villarreal
+	Direct products in projective Segre codes	2016	Azucena Tochimani Maria Vaz Pinto Rafael H. Villarreal
+	The second generalized Hamming weight of some evaluation codes arising from a projective torus	2016	Manuel González Sarabia Eduardo Camps-Moreno Eliseo Sarmiento Rafael H. Villarreal
+	Minimum distance functions of complete intersections	2016	Yuriko Pitones José Martı́nez-Bernal Rafael H. Villarreal
+	Regularity of the vanishing ideal over a parallel composition of paths	2016	Antonio Macchia Jorge Neves Maria Vaz Pinto Rafael H. Villarreal
+	Minimum distance functions of graded ideals and Reed-Muller-type codes	2015	José Martı́nez-Bernal Yuriko Pitones Rafael H. Villarreal
+ PDF Chat	Complete Intersection Vanishing Ideals on Sets of Clutter Type over Finite Fields	2015	Azucena Tochimani Rafael H. Villarreal
+ PDF Chat	Binomial vanishing ideals	2015	Azucena Tochimani Rafael H. Villarreal
+	Vanishing ideals generated by binomials	2015	Azucena Tochimani Rafael H. Villarreal
+	Binomial vanishing ideals	2015	Azucena Tochimani Rafael H. Villarreal
+	Monomial Algebras	2015	Rafael H. Villarreal
+	VANISHING IDEALS OVER RATIONAL PARAMETERIZATIONS	2015	Azucena Tochimani Rafael H. Villarreal
+	Vanishing ideals over finite fields	2015	Azucena Tochimani Rafael H. Villarreal
+	Projective Segre codes.	2015	Azucena Tochimani Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	Vanishing Ideals Over Graphs and Even Cycles	2015	Jorge Neves Maria Vaz Pinto Rafael H. Villarreal
+	Direct products in projective Segre codes	2015	Azucena Tochimani Maria Vaz Pinto Rafael H. Villarreal
+	Binomial vanishing ideals	2015	Azucena Tochimani Rafael H. Villarreal
+	Minimum distance functions of graded ideals and Reed-Muller-type codes	2015	José Martı́nez-Bernal Yuriko Pitones Rafael H. Villarreal
+	Vanishing ideals over finite fields	2015	Azucena Tochimani Rafael H. Villarreal
+ PDF Chat	Regularity and algebraic properties of certain lattice ideals	2014	Jorge Neves Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	Computing the degree of a lattice ideal of dimension one	2014	Hiram H. López Rafael H. Villarreal
+ PDF Chat	Degree and Algebraic Properties of Lattice and Matrix Ideals	2014	Liam O’Carroll Francesc Planas-Vilanova Rafael H. Villarreal
+ PDF Chat	The Degree and Regularity of Vanishing Ideals of Algebraic Toric Sets Over Finite Fields	2013	Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	COMPLETE INTERSECTIONS IN BINOMIAL AND LATTICE IDEALS	2013	Hiram H. López Rafael H. Villarreal
+	Degree and algebraic properties of lattice and binomial matrix ideals	2013	Liam O’Carroll Francesc Planas-Vilanova Rafael H. Villarreal
+	Degree and algebraic properties of lattice and matrix ideals	2013	Liam O’Carroll Francesc Planas-Vilanova Rafael H. Villarreal
+ PDF Chat	Complete intersection vanishing ideals on degenerate tori over finite fields	2013	Hiram H. López Rafael H. Villarreal Leticia Zárate
+	Regularity and algebraic properties of certain lattice ideals	2013	Jorge Neves Maria Vaz Pinto Rafael H. Villarreal
+	Degree and algebraic properties of lattice and matrix ideals	2013	Liam O’Carroll Francesc Planas-Vilanova Rafael H. Villarreal
+	Regularity and algebraic properties of certain lattice ideals	2013	Jorge Neves Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	Toric Ideals Generated by Circuits	2012	José Martı́nez-Bernal Rafael H. Villarreal
+ PDF Chat	Parameterized affine codes	2012	Hiram H. López Eliseo Sarmiento Maria Vaz Pinto Rafael H. Villarreal
+	Complete intersection vanishing ideals on degenerate tori over finite fields	2012	Hiram H. López Rafael H. Villarreal Leticia Zárate
+ PDF Chat	Affine cartesian codes	2012	Hiram H. López Carlos Rentería-Márquez Rafael H. Villarreal
+	Computing the degree of a lattice ideal of dimension one	2012	Hiram H. López Rafael H. Villarreal
+	Complete intersections in binomial and lattice ideals	2012	Hiram H. López Rafael H. Villarreal
+ PDF Chat	Edge Ideals: Algebraic and Combinatorial Properties	2012	Susan Morey Rafael H. Villarreal
+ PDF Chat	Edge Ideals: Algebraic and Combinatorial Properties	2012	Susan Morey Rafael H. Villarreal
+ PDF Chat	Progress in Commutative Algebra 1	2012	Susan Morey Rafael H. Villarreal
+	ON THE VANISHING IDEAL OF AN ALGEBRAIC TORIC SET AND ITS PARAMETRIZED LINEAR CODES	2012	Eliseo Sarmiento Maria Vaz Pinto Rafael H. Villarreal
+	Affine cartesian codes	2012	Hiram H. López Carlos Rentería-Márquez Rafael H. Villarreal
+	Computing the degree of a lattice ideal of dimension one	2012	Hiram H. López Rafael H. Villarreal
+	Complete intersection vanishing ideals on degenerate tori over finite fields	2012	Hiram H. López Rafael H. Villarreal Leticia Zárate
+	Complete intersections in binomial and lattice ideals	2012	Hiram H. López Rafael H. Villarreal
+	Vanishing ideals over graphs and even cycles	2011	Jorge Neves Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	Combinatorics of Cremona monomial maps	2011	Aron Simis Rafael H. Villarreal
+	Parameterized affine codes	2011	Hiram H. López Eliseo Sarmiento Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	The minimum distance of parameterized codes on projective tori	2011	Eliseo Sarmiento Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	Associated primes of powers of edge ideals	2011	José Martı́nez-Bernal Susan Morey Rafael H. Villarreal
+	Associated primes of powers of edge ideals	2011	José Martı́nez-Bernal Susan Morey Rafael H. Villarreal
+	On the vanishing ideal of an algebraic toric set and its parameterized linear codes	2011	Eliseo Sarmiento Maria Vaz Pinto Rafael H. Villarreal
+ PDF Chat	Combinatorics of symbolic Rees algebras of edge ideals of clutters	2011	José Martı́nez-Bernal Carlos Rentería-Márquez Rafael H. Villarreal
+	Associated primes of powers of edge ideals	2011	José Martı́nez-Bernal Susan Morey Rafael H. Villarreal
+	Parameterized affine codes	2011	Hiram H. López Eliseo Sarmiento Maria Vaz Pinto Rafael H. Villarreal
+	Vanishing ideals over graphs and even cycles	2011	Jorge Alexandre Barbosa Neves Maria V. Pinto Rafael H. Villarreal
+ PDF Chat	Systems with the integer rounding property in normal monomial subrings	2010	Luis A. Dupont Carlos Rentería-Márquez Rafael H. Villarreal
+ PDF Chat	Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields	2010	Carlos Rentería-Márquez Aron Simis Rafael H. Villarreal
+	The minimum distance of parameterized codes of complete intersection vanishing ideals over finite fields	2010	Eliseo Sarmiento Maria Vaz Pinto Rafael H. Villarreal
+	The minimum distance of parameterized codes on projective tori	2010	Eliseo Sarmiento Maria Vaz Pinto Rafael H. Villarreal
+	Indices of Normalization of Ideals	2010	Claudia Polini Bernd Ulrich Wolmer V. Vasconcelos Rafael H. Villarreal
+ PDF Chat	Ehrhart Clutters: Regularity and Max-Flow Min-Cut	2010	José Martı́nez-Bernal Edwin O’Shea Rafael H. Villarreal
+ PDF Chat	Edge ideals of clique clutters of comparability graphs and the normality of monomial ideals	2010	Luis A. Dupont Rafael H. Villarreal
+	Algebraic methods for parameterized codes	2010	Carlos Rentería-Márquez Aron Simis Rafael H. Villarreal
+	Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields	2010	Carlos Rentería-Márquez Aron Simis Rafael H. Villarreal
+	The minimum distance of parameterized codes on projective tori	2010	Eliseo Sarmiento Maria Vaz Pinto Rafael H. Villarreal
+	Indices of Normalization of Ideals	2010	Claudia Polini Bernd Ulrich Wolmer V. Vasconcelos Rafael H. Villarreal
+ PDF Chat	Cohen-Macaulay admissible clutters	2009	Huy Tài Hà Susan Morey Rafael H. Villarreal
+ PDF Chat	Cohen-Macaulay clutters with combinatorial optimization properties and parallelizations of normal edge ideals	2009	Luis A. Dupont Rafael H. Villarreal Enrique Reyes
+ PDF Chat	Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems	2009	Luis A. Dupont Rafael H. Villarreal
+	Combinatorics of Cremona monomial maps	2009	Aron Simis Rafael H. Villarreal
+ PDF Chat	Ring graphs and complete intersection toric ideals	2009	Isidoro Gitler Enrique Reyes Rafael H. Villarreal
+	Ehrhart clutters: Regularity and Max-Flow Min-Cut	2009	José Martı́nez-Bernal Edwin O’Shea Rafael H. Villarreal
+	Monomial rings of maximal cliques of graphs and TDI systems	2009	José Martı́nez-Bernal Edwin O’Shea Rafael H. Villarreal
+ PDF Chat	Blowup Algebras of Square-Free Monomial Ideals and Some Links to Combinatorial Optimization Problems	2009	Isidoro Gitler Enrique Reyes Rafael H. Villarreal
+	Combinatorics of Cremona monomial maps	2009	Aron Simis Rafael H. Villarreal
+	Ehrhart clutters: Regularity and Max-Flow Min-Cut	2009	José Martı́nez-Bernal Edwin O’Shea Rafael H. Villarreal
+	Combinatorics of symbolic Rees algebras of edge ideals of clutters	2009	José Martı́nez-Bernal Carlos A. Renteria Rafael H. Villarreal
+	Toric ideals generated by circuits	2008	José Martı́nez-Bernal Rafael H. Villarreal
+	Cohen-Macaulay clutters with combinatorial optimization properties and parallelizations of normal edge ideals	2008	Luis A. Dupont Enrique Reyes-Espinoza Rafael H. Villarreal
+ PDF Chat	Rees cones and monomial rings of matroids	2008	Rafael H. Villarreal
+	Systems with the integer rounding property in normal monomial subrings	2008	Luis A. Dupont Carlos Rentería-Márquez Rafael H. Villarreal
+	Edge ideals of clique clutters of comparability graphs and the normality of monomial ideals	2008	Luis A. Dupont Rafael H. Villarreal
+	Normalization of monomial ideals and Hilbert functions	2008	Rafael H. Villarreal
+ PDF Chat	Cohen–Macaulay, shellable and unmixed clutters with a perfect matching of König type	2008	Susan Morey Enrique Reyes Rafael H. Villarreal
+	Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems	2008	Luis A. Dupont Rafael H. Villarreal
+	Cohen-Macaulay admissible clutters	2008	Huy Tài Hà Susan Morey Rafael H. Villarreal
+	Duality, a-invariants and canonical modules of rings arising from linear optimization problems	2008	Joseph P. Brennan Luis A. Dupont Rafael H. Villarreal
+	Toric ideals generated by circuits	2008	José Martı́nez-Bernal Rafael H. Villarreal
+	Cohen-Macaulay clutters with combinatorial optimization properties and parallelizations of normal edge ideals	2008	Luis A. Dupont Enrique Reyes-Espinoza Rafael H. Villarreal
+	Edge ideals of clique clutters of comparability graphs and the normality of monomial ideals	2008	Luis A. Dupont Rafael H. Villarreal
+	Systems with the integer rounding property in normal monomial subrings	2008	Luis A. Dupont Carlos Rentería-Márquez Rafael H. Villarreal
+	Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems	2008	Luis A. Dupont Rafael H. Villarreal
+	Shellable graphs and sequentially Cohen–Macaulay bipartite graphs	2007	Adam Van Tuyl Rafael H. Villarreal
+	Cohen-Macaulay, Shellable and unmixed clutters with a perfect matching of K\"onig type	2007	Susan Morey Enrique Reyes Rafael H. Villarreal
+ PDF Chat	Rees algebras and polyhedral cones of ideals of vertex covers of perfect graphs	2007	Rafael H. Villarreal
+	Ring graphs and toric ideals	2007	Isidoro Gitler Enrique Reyes Rafael H. Villarreal
+	Symbolic Rees algebras, vertex covers and irreducible representations of Rees cones	2007	Luis A. Dupont Rafael H. Villarreal
+	1 Centro de Investigaci on y de Estudios Avanzados del IPN, Ciudad de M exico, M exico	2007	Rafael H. Villarreal
+	Shellable graphs and sequentially Cohen-Macaulay bipartite graphs	2007	Adam Van Tuyl Rafael H. Villarreal
+	Shellable graphs and sequentially Cohen-Macaulay bipartite graphs	2007	Adam Van Tuyl Rafael H. Villarreal
+	Cohen-Macaulay, Shellable and unmixed clutters with a perfect matching of König type	2007	Susan Morey Enríque G. Reyes Rafael H. Villarreal
+ PDF Chat	Blowup algebras of square-free monomial ideals and some links to combinatorial optimization problems	2006	Isidoro Gitler Enrique Reyes Rafael H. Villarreal
+	Rees algebras and polyhedral cones of ideals of vertex covers of perfect graphs	2006	Rafael H. Villarreal
+	Unmixed bipartite graphs	2006	Rafael H. Villarreal
+	Normalization of monomial ideals and Hilbert functions	2006	Rafael H. Villarreal
+	Rees cones and monomial rings of matroids	2006	Rafael H. Villarreal
+	Unmixed bipartite graphs	2006	Rafael H. Villarreal
+	Blowup algebras of square-free monomial ideals and some links to combinatorial optimization problems	2006	Isidoro Gitler Enrique Reyes Rafael H. Villarreal
+	Ring graphs and complete intersection toric ideals	2006	Isidoro Gitler Enrique Reyes Rafael H. Villarreal
+	Linear syzygies and birational combinatorics	2006	Aron Simis Rafael H. Villarreal
+	Ring graphs and complete intersection toric ideals	2006	Isidoro Gitler Enríque G. Reyes Rafael H. Villarreal
+	Rees cones and monomial rings of matroids	2006	Rafael H. Villarreal
+	Normalization of monomial ideals and Hilbert functions	2006	Rafael H. Villarreal
+	Rees algebras and polyhedral cones of ideals of vertex covers of perfect graphs	2006	Rafael H. Villarreal
+ PDF Chat	Linear syzygies and birational combinatorics	2005	Aron Simis Rafael H. Villarreal
+	Torsion freeness and normality of blowup rings of monomial ideals	2005	Cesar A. Escobar Rafael H. Villarreal Yuji Yoshino
+	Torsion freeness and normality of blowup rings of monomial ideals	2005	Cesar A. Escobar Rafael H. Villarreal Yuji Yoshino
+	Normality of semigroups with some links to graph theory	2005	Rafael H. Villarreal
+	Explicit representations by halfspaces of the edge cone of a graph	2005	Carlos E. Valencia Rafael H. Villarreal
+	Linear syzygies and birational combinatorics	2005	Aron Simis Rafael H. Villarreal
+	A note on the Rees algebra of a bipartite graph	2005	Isidoro Gitler Carlos E. Valencia Rafael H. Villarreal
+	A note on Rees algebras and the MFMC property	2005	Isidoro Gitler Carlos E. Valencia Rafael H. Villarreal
+	Blowup algebras of ideals of vertex covers of bipartite graphs	2005	Isidoro Gitler Enrique Reyes Rafael H. Villarreal
+	Complete intersections in affine monomial curves	2005	Isabel Bermejo Philippe Giménez Enrique Reyes Rafael H. Villarreal
+	Linear syzygies and birational combinatorics	2005	Aron Simis Rafael H. Villarreal
+	Explicit representations by halfspaces of the edge cone of a graph	2005	Carlos E. Valencia Rafael H. Villarreal
+	Relative volumes and minors in monomial subrings	2003	Cesar A. Escobar José Martı́nez-Bernal Rafael H. Villarreal
+	Canonical modules of certain edge subrings	2003	Carlos E. Valencia Rafael H. Villarreal
+	Monomial algebras and polyhedral geometry	2003	Rafael H. Villarreal
+	Explicit representations by halfspaces of the edge cone of a graph	2003	Carlos E. Valencia Rafael H. Villarreal
+ PDF Chat	Constraints for the normality of monomial subrings and birationality	2002	Aron Simis Rafael H. Villarreal
+	On the normality of Rees algebras associated to totally unimodular matrices	2002	Vittoria Bonanzinga Cesar A. Escobar Rafael H. Villarreal
+	Generic Gaussian ideals	2002	Alberto Corso Wolmer V. Vasconcelos Rafael H. Villarreal
+	Multiplicities of edge subrings	2002	Carlos E. Valencia Rafael H. Villarreal
+	ON THE NORMALITY OF MONOMIAL IDEALS OF MIXED PRODUCTS	2001	Gaetana Restuccia Rafael H. Villarreal
+ PDF Chat	On systems of binomials in the ideal of a toric variety	2001	Shalom Eliahou Rafael H. Villarreal
+	A comparison of Ehrhart with some other monomial subrings	2001	Cesar A. Escobar José Martínez Bernal Rafael H. Villarreal
+	A note on unimodular matrices and the normality of certain Rees semigroups	2001	Cesar A. Escobar Isidoro Gitler Rafael H. Villarreal
+	Monomial Algebras	2000	Rafael H. Villarreal
+	A note on affine toric varieties	2000	Enrique Reyes Rafael H. Villarreal Leticia Zárate
+	On the normality of square-free monomial ideals of mixed products	2000	Gaetana Restuccia Rafael H. Villarreal
+	A note on affine toric varieties	1999	Enrique Reyes Rafael H. Villarreal Leticia Zárate
+	Rees algebras of complete bipartite graphs.	1999	Rafael H. Villarreal
+	On systems of binomials in the ideal of a monomial curve	1999	Shalom Eliahou Rafael H. Villarreal
+	On the equations of the edge cone of a graph¶and some applications	1998	Rafael H. Villarreal
+ PDF Chat	Generic Gaussian ideals	1998	Alberto Corso Wolmer V. Vasconcelos Rafael H. Villarreal
+	The Integral Closure of Subrings Associated to Graphs	1998	Aron Simis Wolmer V. Vasconcelos Rafael H. Villarreal
+ PDF Chat	Degree bounds in monomial subrings	1997	Winfried Bruns Wolmer V. Vasconcelos Rafael H. Villarreal
+ PDF Chat	Cohen-macaulay bipartite graphs	1997	Mario Estrada Rafael H. Villarreal
+	Normality of subrings generated by square free monomials	1996	Rafael H. Villarreal
+ PDF Chat	A note on generators of least degree in Gorenstein ideals	1996	Matthew Miller Rafael H. Villarreal
+	Rees algebras of edge ideals	1995	Rafael H. Villarreal
+	On the Ideal Theory of Graphs	1994	Aron Simis W.V Vasconcelos Rafael H. Villarreal
+	Critical binomials of monomial curves	1994	Adrián Alcántar Rafael H. Villarreal
+	On the Betti numbers of some Gorenstein ideals	1994	Matthew Miller Rafael H. Villarreal
+	Koszul Homology of Cohen-Macaulay Rings with Linear Resolutions	1992	Carlos A. Renteria Rafael H. Villarreal
+ PDF Chat	Koszul homology of Cohen-Macaulay rings with linear resolutions	1992	Carlos Rentería-Márquez Rafael H. Villarreal
+	Cohen-macaulay graphs	1990	Rafael H. Villarreal
+	Rees algebras and Koszul homology	1988	Rafael H. Villarreal
+ PDF Chat	On Gorenstein ideals of codimension four	1986	Wolmer V. Vasconcelos Rafael H. Villarreal
+ PDF Chat	Ideals with sliding depth	1985	Jürgen Herzog Wolmer V. Vasconcelos Rafael H. Villarreal

Common Coauthors

Coauthor	Papers Together
José Martı́nez-Bernal	38
Maria Vaz Pinto	33
Enrique Reyes	20
Susan Morey	17
Luis A. Dupont	16
Aron Simis	16
Hiram H. López	16
Yuriko Pitones	14
Azucena Tochimani	12
Carlos Rentería-Márquez	11
Isidoro Gitler	11
Wolmer V. Vasconcelos	11
Eliseo Sarmiento	11
Manuel González Sarabia	11
Delio Jaramillo	10
Carlos E. Valencia	9
Carlos E. Vivares	9
Jorge Neves	8
Gonzalo Grisalde	8
Alexandra Seceleanu	7
Cesar A. Escobar	6
Miguel A. Valencia-Bucio	6
Enríque G. Reyes	5
Humberto Muñoz-George	5
Huy Tài Hà	5
Leticia Zárate	5
Philippe Giménez	4
Liam O’Carroll	4
Ştefan Tohǎneanu	4
Francesc Planas-Vilanova	4
Edwin O’Shea	4
Luis Núñez-Betancourt	4
Adam Van Tuyl	3
Antonio Macchia	3
Jorge Neves	3
Kuei-Nuan Lin	3
Susan Cooper	3
Claudia Polini	3
Maria V. Pinto	3
Fernando O. Méndez	2
Shalom Eliahou	2
Carlos A. Renteria	2
Alberto Corso	2
Ivan Soprunov	2
Eduardo Camps-Moreno	2
Enrique Reyes-Espinoza	2
Matthew Miller	2
Miguel A. Valencia	2
Eduardo Sáenz‐de‐Cabezón	2
Jorge A. Ordaz	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Ideal Theory of Graphs	1994	Aron Simis W.V Vasconcelos Rafael H. Villarreal	50
+	Cohen-Macaulay Rings	1998	Winfried Bruns H. Jürgen Herzog	50
+	Hilbert functions of graded algebras	1978	Richard P. Stanley	49
+ PDF Chat	Commutative algebra with a view toward algebraic geometry	1996	David Eisenbud	44
+	Reed-Muller-Type Codes Over the Segre Variety	2002	Manuel González Sarabia Carlos Rentería-Márquez Horacio Tapia-Recillas	43
+ PDF Chat	Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields	2010	Carlos Rentería-Márquez Aron Simis Rafael H. Villarreal	38
+	Computational Methods in Commutative Algebra and Algebraic Geometry	1998	Wolmer V. Vasconcelos Daniel R. Grayson Michael Stillman David Eisenbud J. Ronald Herzog	36
+	Cayley–Bacharach and evaluation codes on complete intersections	2004	Leah Gold John B. Little Hal Schenck	36
+ PDF Chat	The minimum distance of parameterized codes on projective tori	2011	Eliseo Sarmiento Maria Vaz Pinto Rafael H. Villarreal	35
+ PDF Chat	Cayley-Bacharach schemes and their canonical modules	1993	Anthony V. Geramita Martin Kreuzer Lorenzo Robbiano	31
+	Cohen-macaulay graphs	1990	Rafael H. Villarreal	31
+	Torsion freeness and normality of blowup rings of monomial ideals	2005	Cesar A. Escobar Rafael H. Villarreal Yuji Yoshino	31
+ PDF Chat	Blowup Algebras of Square-Free Monomial Ideals and Some Links to Combinatorial Optimization Problems	2009	Isidoro Gitler Enrique Reyes Rafael H. Villarreal	30
+	Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes	1972	Melvin Hochster	25
+	The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry	2004	David Eisenbud	25
+	Relative volumes and minors in monomial subrings	2003	Cesar A. Escobar José Martı́nez-Bernal Rafael H. Villarreal	25
+	A note on Rees algebras and the MFMC property	2005	Isidoro Gitler Carlos E. Valencia Rafael H. Villarreal	24
+ PDF Chat	Affine cartesian codes	2012	Hiram H. López Carlos Rentería-Márquez Rafael H. Villarreal	23
+	On the second Hamming weight of some Reed–Muller type codes	2013	Cícero Carvalho	23
+ PDF Chat	Minimum distance functions of graded ideals and Reed–Muller-type codes	2016	José Martı́nez-Bernal Yuriko Pitones Rafael H. Villarreal	22
+	Gröbner bases and convex polytopes	1995	Bernd Sturmfels	20
+ PDF Chat	Rees algebras and polyhedral cones of ideals of vertex covers of perfect graphs	2007	Rafael H. Villarreal	20
+ PDF Chat	Distributive Lattices, Bipartite Graphs and Alexander Duality	2005	Jürgen Herzog Takayuki Hibi	19
+	Ideals, Varieties, and Algorithms	1992	David Cox John B. Little Donal O’Shea	19
+	The Integral Closure of Subrings Associated to Graphs	1998	Aron Simis Wolmer V. Vasconcelos Rafael H. Villarreal	19
+	Monomial Algebras	2015	Rafael H. Villarreal	18
+	Cohen–Macaulay properties of square-free monomial ideals	2004	Sara Faridi	18
+	Commutative Ring Theory	1987	H. Matsumura	17
+ PDF Chat	Cohen–Macaulay, shellable and unmixed clutters with a perfect matching of König type	2008	Susan Morey Enrique Reyes Rafael H. Villarreal	16
+ PDF Chat	Generators and relations of abelian semigroups and semigroup rings	1970	J�rgen Herzog	16
+	Combinatorics and Commutative Algebra	1996	Richard P. Stanley	16
+	Rees algebras of edge ideals	1995	Rafael H. Villarreal	15
+ PDF Chat	Theory of Linear and Integer Programming.	1987	David K. Smith Alexander Schrijver	15
+ PDF Chat	Cohen-macaulay bipartite graphs	1997	Mario Estrada Rafael H. Villarreal	14
+ PDF Chat	Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers	2007	Huy Tài Hà Adam Van Tuyl	14
+ PDF Chat	Generalized minimum distance functions	2018	Manuel González Sarabia José Martı́nez-Bernal Rafael H. Villarreal Carlos E. Vivares	14
+ PDF Chat	Standard graded vertex cover algebras, cycles and leaves	2008	Jürgen Herzog Takayuki Hibi Ngô Viêt Trung Xinxian Zheng	14
+ PDF Chat	Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems	2009	Luis A. Dupont Rafael H. Villarreal	13
+ PDF Chat	Degree and Algebraic Properties of Lattice and Matrix Ideals	2014	Liam O’Carroll Francesc Planas-Vilanova Rafael H. Villarreal	13
+ PDF Chat	Symbolic powers of monomial ideals and vertex cover algebras	2006	Jürgen Herzog Takayuki Hibi Ngô Viêt Trung	13
+ PDF Chat	Embedded associated primes of powers of square-free monomial ideals	2009	Huy Tài Hà Susan Morey	13
+	Canonical modules of certain edge subrings	2003	Carlos E. Valencia Rafael H. Villarreal	13
+ PDF Chat	Characteristic-independence of Betti numbers of graph ideals	2005	Mordechai Katzman	12
+	Basic Algebra I.	1986	Andy R. Magid Nathan Jacobson	12
+ PDF Chat	Generalized Hamming Weights for Almost Affine Codes	2017	Trygve Johnsen Hugues Verdure	12
+ PDF Chat	Vanishing Ideals Over Graphs and Even Cycles	2015	Jorge Neves Maria Vaz Pinto Rafael H. Villarreal	12
+	Binomial Ideals	1994	David Eisenbud Bernd Sturmfels	12
+ PDF Chat	On systems of binomials in the ideal of a toric variety	2001	Shalom Eliahou Rafael H. Villarreal	11
+ PDF Chat	Simplicial trees are sequentially Cohen–Macaulay	2004	Sara Faridi	11
+	Lower bounds on minimal distance of evaluation codes	2009	Ştefan Tohǎneanu	11