Concepedia

Substitution Closure

Substitution Closure is a formal operation in analytic combinatorics that belongs to the class of combinatorial closure operators, distinguished by its role in generating the smallest class of combinatorial structures closed under the substitution (or composition) of generating functions, thereby preserving analytic properties required for asymptotic analysis.

21

Publications

842

Citations

33

Authors

16

Institutions

Publications per year

2017–2026

1

Parents

Publications

21

The Analytic Representation of Substitutions on a Power of a Prime Number of Letters with a Discussion of the Linear Group.

L. E. Dickson · Annals of Mathematics · 1896 · 268 citations

, , +10

Preservation of termination for explicit substitution

C.J. Bloo · TU/e Research Portal (Eindhoven University of Technology) · 1997 · 75 citations · Full text

, , +4

Elementary closures for integer programs

Gérard Cornuéjols, Yanjun Li · Operations Research Letters · 2001 · 69 citations

, , +13

An Analysis of Logical Substitution

H. B. Curry · American Journal of Mathematics · 1929 · 69 citations

, , +5

Higher dimensional extensions of substitutions and their dual maps

Yuki Sano, Pierre Arnoux, Shunji Ito · Journal d Analyse Mathématique · 2001 · 57 citations

, , +6

1–5 of 21

Authors

33

  1. SI
    Shunji Ito

    Tohoku University, Japan

    2 publications · 73 citations

    2

    h-index

  2. ML
    Mariusz Lemańczyk

    Nicolaus Copernicus University, Poland

    2 publications · 34 citations

    2

    h-index

  3. LE
    L. E. Dickson

    University of Chicago, United States

    2 publications · 320 citations

    2

    h-index

  4. YL
    Yanjun Li

    Zhejiang University, China

    1 publications · 69 citations

    1

    h-index

  5. PA
    Pierre Arnoux

    Institut de Mathématiques de Marseille, France

    1 publications · 57 citations

    1

    h-index

1–5 of 33

Institutions

16

  1. Hebrew University of Jerusalem

    Jerusalem, Israel

    1 h-index

    1 publications

    10 citations

  2. TU Wien

    Vienna, Austria

    1 h-index

    1 publications

    12 citations

  3. Computer Algorithms for Medicine

    Graz, Austria

    1 h-index

    1 publications

    75 citations

  4. Laboratoire de Recherche en Informatique

    Gif-sur-Yvette, France

    1 h-index

    1 publications

    11 citations

  5. Osnabrück University

    Osnabrück, Germany

    1 h-index

    1 publications

    12 citations

  6. Université Paris Cité

    Paris, France

    1 h-index

    1 publications

    16 citations

  7. Wuhan University

    Wuhan, China

    1 h-index

    2 publications

    28 citations

  8. Carnegie Mellon University

    Pittsburgh, United States

    1 h-index

    2 publications

    138 citations

1–8 of 16

Venues

  1. Discrete Mathematics

    2 publications · 26 citations

    2

    h-index

  2. Annals of Mathematics

    2 publications · 320 citations

    2

    h-index

  3. Operations Research Letters

    1 publications · 69 citations

    1

    h-index

  4. TU/e Research Portal (Eindhoven University of Technology)

    Repository · 1 publications · 75 citations

    1

    h-index

  5. Journal of Algebra

    1 publications · 12 citations

    1

    h-index

1–5