Concepedia

Association Schemes

Association Schemes is a combinatorial structure consisting of a partition of the edge set of a complete graph into relations that satisfy regularity conditions, distinguished by the property that the number of vertices related to any two given vertices depends only on their relation class, thereby forming a highly symmetric configuration used in algebraic combinatorics.

258

Publications

10K

Citations

367

Authors

234

Institutions

Publications per year

2017–2026

42

Parents

Publications

258

AN ALGEBRAIC APPROACH TO THE ASSOCIATION SCHEMES OF CODING THEORY

P. Delsarte · Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) · 2011 · 1.1K citations

, , +6

The Subconstituent Algebra of an Association Scheme, (Part I)

Paul Terwilliger · Journal of Algebraic Combinatorics · 1992 · 420 citations · Full text

, , +3

A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing

Kelan Ding, Cunsheng Ding · IEEE Transactions on Information Theory · 2015 · 326 citations

, , +16

Base size, metric dimension and other invariants of groups and graphs

R. A. Bailey, Peter J‎. Cameron · Bulletin of the London Mathematical Society · 2011 · 264 citations

, , +16

On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs

R. C. Bose, Dale M. Mesner · The Annals of Mathematical Statistics · 1959 · 248 citations · Full text

, , +9

1–5 of 258

Authors

367

  1. AH
    Akihide Hanaki

    Shinshu University, Japan

    16 publications · 294 citations

    13

    h-index

  2. MM
    Mikhail Muzychuk

    Netanya Academic College, Israel

    12 publications · 313 citations

    11

    h-index

  3. EB
    Eiichi Bannaĭ

    Kyushu University, Japan

    10 publications · 267 citations

    10

    h-index

  4. BX
    Bangteng Xu

    Eastern Kentucky University, United States

    8 publications · 151 citations

    8

    h-index

  5. WJ
    William J. Martin

    Indiana University – Purdue University Indianapolis, United States

    8 publications · 318 citations

    8

    h-index

1–5 of 367

Institutions

234

  1. Shinshu University

    Matsumoto, Japan

    12 h-index

    16 publications

    295 citations

  2. Netanya Academic College

    Netanya, Israel

    11 h-index

    12 publications

    313 citations

  3. The Ohio State University

    Columbus, United States

    10 h-index

    13 publications

    387 citations

  4. Tohoku University

    Sendai, Japan

    8 h-index

    9 publications

    169 citations

  5. Kyushu University

    Fukuoka, Japan

    8 h-index

    13 publications

    340 citations

  6. Eastern Kentucky University

    Richmond, United States

    8 h-index

    8 publications

    151 citations

  7. Pohang University of Science and Technology

    Pohang, South Korea

    7 h-index

    7 publications

    147 citations

  8. University of Waterloo

    Waterloo, Canada

    7 h-index

    12 publications

    504 citations

1–8 of 234

Venues

  1. Journal of Combinatorial Theory Series A

    20 publications · 693 citations

    15

    h-index

  2. European Journal of Combinatorics

    20 publications · 463 citations

    13

    h-index

  3. Journal of Algebra

    18 publications · 367 citations

    13

    h-index

  4. Discrete Mathematics

    13 publications · 201 citations

    11

    h-index

  5. The Annals of Mathematical Statistics

    11 publications · 626 citations

    10

    h-index

1–5