Concepedia

Permutation Representations

Permutation Representations is a mathematical framework within graphical representation theory that encodes group actions on combinatorial structures by mapping elements of a permutation group to automorphisms of a graph, thereby representing symmetries through vertex relabelings that preserve adjacency relations.

365

Publications

14.3K

Citations

529

Authors

321

Institutions

Publications per year

2017–2026

31

Parents

Publications

365

Getting Things in Order: An Introduction to the<i>R</i>Package<b>seriation</b>

Michael Hahsler, Kurt Hornik, Christian Buchta · Journal of Statistical Software · 2008 · 395 citations · Full text

, , +11

A new approach to representation theory of symmetric groups

Andreĭ Okounkov, A. M. Vershik · Selecta Mathematica · 1996 · 290 citations

, , +12

The Affine Permutation Groups of Rank Three

Martin W. Liebeck · Proceedings of the London Mathematical Society · 1987 · 288 citations

, , +10

Automorphism groups and isomorphisms of Cayley digraphs

Mingyao Xu · Discrete Mathematics · 1998 · 286 citations

, , +9

Polynomial-time algorithms for permutation groups

Merrick L. Furst, John E. Hopcroft, Eugene M. Luks · 1980 · 252 citations

, , +14

1–5 of 365

Authors

529

  1. RM
    Robert M. Guralnick

    University of Southern California, United States

    5 publications · 248 citations

    5

    h-index

  2. DF
    Derek F. Holt

    University of Warwick, United Kingdom

    5 publications · 75 citations

    5

    h-index

  3. MW
    Martin W. Liebeck

    Imperial College London, United Kingdom

    5 publications · 408 citations

    5

    h-index

  4. CE
    Cheryl E. Praeger

    The University of Western Australia, Australia

    5 publications · 228 citations

    5

    h-index

  5. WM
    William M. Kantor

    University of Oregon, United States

    5 publications · 362 citations

    5

    h-index

1–5 of 529

Institutions

321

  1. University of Warwick

    Coventry, United Kingdom

    10 h-index

    14 publications

    297 citations

  2. The University of Western Australia

    Perth, Australia

    8 h-index

    11 publications

    509 citations

  3. University of California, Santa Cruz

    Santa Cruz, United States

    6 h-index

    8 publications

    432 citations

  4. University of Manchester

    Manchester, United Kingdom

    5 h-index

    6 publications

    113 citations

  5. Hebrew University of Jerusalem

    Jerusalem, Israel

    5 h-index

    7 publications

    212 citations

  6. University of Auckland

    Auckland, New Zealand

    5 h-index

    9 publications

    298 citations

  7. University of Southern California

    Los Angeles, United States

    5 h-index

    7 publications

    412 citations

  8. Australian National University

    Canberra, Australia

    5 h-index

    11 publications

    461 citations

1–8 of 321

Venues

  1. Journal of Algebra

    24 publications · 772 citations

    16

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 13 publications · 773 citations

    13

    h-index

  3. Discrete Mathematics

    13 publications · 660 citations

    12

    h-index

  4. European Journal of Combinatorics

    9 publications · 268 citations

    9

    h-index

  5. Journal of Combinatorial Theory Series A

    8 publications · 275 citations

    8

    h-index

1–5