Concepedia

Toric Ideal Computation

Toric Ideal Computation is a computational method in algebraic geometry that determines the defining ideal of a toric variety from a given integer matrix by generating a binomial ideal encoding the algebraic relations among monomials associated with the matrix columns.

40

Publications

1.3K

Citations

57

Authors

43

Institutions

Publications per year

2017–2026

6

Parents

Publications

40

Toric Ideals Generated by Quadratic Binomials

Hidefumi Ohsugi, Takayuki Hibi · Journal of Algebra · 1999 · 185 citations

, , +5

Sequential importance sampling for multiway tables

Yuguo Chen, Ian H. Dinwoodie, Seth Sullivant · The Annals of Statistics · 2006 · 89 citations · Full text

, , +15

Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems

Karin Gatermann, M. Eiswirth, Anke Sensse · Journal of Symbolic Computation · 2005 · 80 citations

, , +12

Special simplices and Gorenstein toric rings

Hidefumi Ohsugi, Takayuki Hibi · Journal of Combinatorial Theory Series A · 2005 · 67 citations · Full text

, , +11

Ring graphs and complete intersection toric ideals

Isidoro Gitler, Enrique Reyes, Rafael H. Villarreal · Discrete Mathematics · 2009 · 59 citations

, , +10

1–5 of 40

Authors

57

  1. HO
    Hidefumi Ohsugi

    The University of Osaka, Japan

    5 publications · 324 citations

    5

    h-index

  2. ER
    Enrique Reyes

    Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Mexico

    5 publications · 165 citations

    5

    h-index

  3. TH
    Takayuki Hibi

    The University of Osaka, Japan

    4 publications · 311 citations

    4

    h-index

  4. IG
    Isidoro Gitler

    Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Mexico

    3 publications · 94 citations

    3

    h-index

  5. RH
    Rafael H. Villarreal

    Instituto Politécnico Nacional, Mexico

    3 publications · 106 citations

    3

    h-index

1–5 of 57

Institutions

43

  1. Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional

    Mexico City, Mexico

    6 h-index

    12 publications

    379 citations

  2. Instituto Politécnico Nacional

    Mexico City, Mexico

    6 h-index

    10 publications

    349 citations

  3. The University of Osaka

    Osaka, Japan

    4 h-index

    7 publications

    555 citations

  4. University of Ioannina

    Ioannina, Greece

    3 h-index

    6 publications

    218 citations

  5. The University of Tokyo

    Tokyo, Japan

    2 h-index

    2 publications

    65 citations

  6. Max Planck Institute for Mathematics in the Sciences

    Leipzig, Germany

    2 h-index

    2 publications

    23 citations

  7. Rikkyo University

    Tokyo, Japan

    2 h-index

    2 publications

    80 citations

  8. Kagoshima University

    Kagoshima, Japan

    2 h-index

    2 publications

    65 citations

1–8 of 43

Venues

  1. Journal of Symbolic Computation

    4 publications · 166 citations

    4

    h-index

  2. Journal of Pure and Applied Algebra

    2 publications · 59 citations

    2

    h-index

  3. Journal of Algebraic Combinatorics

    2 publications · 29 citations

    2

    h-index

  4. Journal of Combinatorial Theory Series A

    2 publications · 103 citations

    2

    h-index

  5. Journal of Algebra

    2 publications · 198 citations

    2

    h-index

1–5