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Rafael H. Villarreal

Rafael H. Villarreal

Rafael H. Villarreal publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Rafael H. Villarreal sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

The last bar groups every scientist with 537 publications or more.

Rafael H. Villarreal D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Rafael H. Villarreal sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

The last bar groups every scientist with 86 D-Index or more.

Overview

Rafael H. Villarreal is affiliated with CINVESTAV in Mexico and has a research focus primarily in Mathematics and Computer Science. Their work spans multiple subfields including Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology, Artificial Intelligence, and Electrical and Electronic Engineering.

The principal topics covered in their research include:

  • Commutative Algebra and Its Applications
  • Polynomial and algebraic computation
  • Algebraic Geometry and Number Theory
  • Coding theory and cryptography
  • Rings, Modules, and Algebras
  • Graph theory and CDMA systems
  • Algebraic structures and combinatorial models

Rafael H. Villarreal's recent publications reveal a focus on the algebraic and combinatorial properties of ideals and graphs within commutative algebra. Selected papers include:

  • "Normally torsion-free edge ideals of weighted oriented graphs," 2023, Communications in Algebra
  • "Bounds for the minimum distance function," 2021, DOAJ (DOAJ: Directory of Open Access Journals)
  • "Unmixed and Cohen-Macaulay Weighted Oriented Kőnig Graphs," 2021, Studia Scientiarum Mathematicarum Hungarica
  • "Normality Criteria for Monomial Ideals," 2022, Results in Mathematics
  • "A duality theorem for the ic-resurgence of edge ideals," 2022, European Journal of Combinatorics

The scientist publishes frequently in venues such as:

  • arXiv (Cornell University)
  • Designs Codes and Cryptography
  • Analele Universităţii "Ovidius" Constanţa. Seria Matematică
  • DOAJ (DOAJ: Directory of Open Access Journals)
  • Communications in Algebra

Collaborations feature several frequent co-authors who have contributed to their body of work. These include:

  • Humberto Muñoz-George
  • Manuel González Sarabia
  • Maria Vaz Pinto
  • Gonzalo Grisalde
  • Enrique Reyes

Overall, Rafael H. Villarreal's research integrates algebraic methods with combinatorial models and computational techniques, producing work that intersects a range of mathematical disciplines and topics of contemporary interest.

Best Publications

  • On the Ideal Theory of Graphs

    A. Simis;Wolmer V. Vasconcelos;Rafael H. Villarreal

  • Cohen-macaulay graphs

    Rafael H. Villarreal

  • Edge Ideals: Algebraic and Combinatorial Properties

    Susan Morey;Rafael H. Villarreal

  • Rees algebras of edge ideals

    Rafael H. Villarreal

  • Shellable graphs and sequentially Cohen--Macaulay bipartite graphs

    Adam Van Tuyl;Rafael H. Villarreal

  • The Integral Closure of Subrings Associated to Graphs

    Aron Simis;Wolmer V Vasconcelos;Rafael H Villarreal

  • Ideals with sliding depth

    J. Herzog;W. V. Vasconcelos;R. Villarreal

  • Associated primes of powers of edge ideals

    José Martínez-Bernal;Susan Morey;Rafael H. Villarreal

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

    Carlos RenteríA-MáRquez;Aron Simis;Rafael H. Villarreal

  • Affine cartesian codes

    Hiram H. López;Carlos Rentería-Márquez;Rafael H. Villarreal

  • A Note on Rees Algebras and the MFMC Property

    Isidoro Gitler;Carlos E. Valencia;Rafael H. Villarreal

  • Ring graphs and complete intersection toric ideals

    Isidoro Gitler;Enrique Reyes;Rafael H. Villarreal

  • Minimum distance functions of graded ideals and Reed–Muller-type codes☆

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

  • Unmixed bipartite graphs

    Rafael H. Villarreal

  • The minimum distance of parameterized codes on projective tori

    Eliseo Sarmiento;Maria Vaz Pinto;Rafael H. Villarreal

  • Cohen–Macaulay, shellable and unmixed clutters with a perfect matching of König type

    Susan Morey;Enrique Reyes;Rafael H. Villarreal

  • Blowup Algebras of Square-Free Monomial Ideals and Some Links to Combinatorial Optimization Problems

    Isidoro Gitler;Enrique Reyes;Rafael H. Villarreal

  • Blowup algebras of ideals of vertex covers of bipartite graphs

    Isidoro Gitler;Enrique Reyes;Rafael H. Villarreal

  • Cohen-macaulay bipartite graphs

    Mario Estrada;Rafael H. Villarreal

  • Affine cartesian codes

    Hiram H. Lopez;Carlos Renteria;Rafael H. Villarreal

Frequent Co-Authors

Aron Simis
Aron Simis Federal University of Pernambuco
Wolmer V. Vasconcelos
Wolmer V. Vasconcelos Rutgers, The State University of New Jersey
Jürgen Herzog
Jürgen Herzog University of Duisburg-Essen
Winfried Bruns
Winfried Bruns Osnabrück University

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