Concepedia

Enumeration Of Pattern-avoiding Permutations

Enumeration of Pattern-Avoiding Permutations is a mathematical framework within enumerative combinatorics that systematically determines the number of permutations of a given length that do not contain specified subsequences ordered in a prescribed pattern.

82

Publications

2.2K

Citations

97

Authors

81

Institutions

Publications per year

2017–2026

5

Parents

Publications

82

On the Stanley-Wilf Conjecture for the Number of Permutations Avoiding a Given Pattern

Richard Arratia · The Electronic Journal of Combinatorics · 1999 · 125 citations · Full text

, , +10

The Enumeration of Permutations with a Prescribed Number of “Forbidden” Patterns

J. R. Noonan, Doron Zeilberger · Advances in Applied Mathematics · 1996 · 95 citations

, , +14

Pattern Avoidance in Set Partitions

Bruce E. Sagan · ArXiv.org · 2006 · 80 citations · Full text

, , +15

Enumeration of words with forbidden patterns

Alexander Burstein · Scholarly Commons (University of Pennsylvania) · 1998 · 75 citations

, , +6

Pattern avoidance and the Bruhat order

Bridget Eileen Tenner · Journal of Combinatorial Theory Series A · 2006 · 72 citations

, , +5

1–5 of 82

Authors

97

  1. TM
    Toufik Mansour

    University of Haifa, Israel

    15 publications · 353 citations

    14

    h-index

  2. MB
    Miklós Bóna

    University of Florida, United States

    5 publications · 152 citations

    5

    h-index

  3. MD
    M. D. Atkinson

    University of Otago, New Zealand

    4 publications · 52 citations

    4

    h-index

  4. SK
    Sergey Kitaev

    University Ucinf, Chile

    4 publications · 83 citations

    4

    h-index

  5. SE
    Sergi Elizalde

    Dartmouth College, United States

    4 publications · 138 citations

    4

    h-index

1–5 of 97

Institutions

81

  1. Massachusetts Institute of Technology

    Cambridge, United States

    9 h-index

    10 publications

    296 citations

  2. University of Haifa

    Haifa, Israel

    8 h-index

    10 publications

    245 citations

  3. Dartmouth College

    Hanover, United States

    4 h-index

    5 publications

    100 citations

  4. Colgate University

    Hamilton, United States

    4 h-index

    5 publications

    97 citations

  5. University of Otago

    Dunedin, New Zealand

    4 h-index

    8 publications

    106 citations

  6. University of Florida

    Gainesville, United States

    4 h-index

    4 publications

    89 citations

  7. University Ucinf

    Santiago, Chile

    3 h-index

    3 publications

    54 citations

  8. University of Florence

    Florence, Italy

    3 h-index

    7 publications

    136 citations

1–8 of 81

Venues

  1. The Electronic Journal of Combinatorics

    22 publications · 590 citations

    15

    h-index

  2. Advances in Applied Mathematics

    7 publications · 265 citations

    7

    h-index

  3. Discrete Mathematics & Theoretical Computer Science

    DMTCS · 6 publications · 121 citations

    6

    h-index

  4. arXiv (Cornell University)

    Repository · 6 publications · 91 citations

    6

    h-index

  5. Journal of Combinatorial Theory Series A

    5 publications · 187 citations

    5

    h-index

1–5