Concepedia

Sum-free Sets

A Sum-Free Set is a subset of an additive abelian group in which no three elements satisfy the equation \( a + b = c \), distinguishing it from other subsets by the absence of solutions to this linear equation within the set itself.

58

Publications

1.6K

Citations

73

Authors

66

Institutions

Publications per year

2017–2026

7

Parents

Publications

58

On small sumsets in an abelian group

J. H. B. Kemperman · Acta Mathematica · 1960 · 137 citations · Full text

, , +7

Sum-free sets in abelian groups

Ben Green, Imre Z. Ruzsa · Israel Journal of Mathematics · 2005 · 135 citations

, , +7

Independent sets in regular graphs and sum-free subsets of finite groups

Noga Alon · Israel Journal of Mathematics · 1991 · 110 citations

, , +7

THE CAMERON–ERDOS CONJECTURE

Ben Green · Bulletin of the London Mathematical Society · 2004 · 76 citations

, , +5

Maximal sum-free sets of elements of finite groups

P. H. Diananda, Hian Poh Yap · Proceedings of the Japan Academy Series A Mathematical Sciences · 1969 · 65 citations · Full text

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1–5 of 58

Authors

73

  1. TS
    Tomasz Schoen

    Adam Mickiewicz University in Poznań, Poland

    5 publications · 100 citations

    5

    h-index

  2. BG
    Ben Green

    University of California, Los Angeles, United States

    4 publications · 285 citations

    4

    h-index

  3. NJ
    Neil J. Calkin

    Clemson University, United States

    3 publications · 80 citations

    3

    h-index

  4. JB
    József Balogh

    University of Illinois Urbana-Champaign, United States

    3 publications · 66 citations

    3

    h-index

  5. WS
    Wojciech Samotij

    Tel Aviv University, Israel

    3 publications · 65 citations

    3

    h-index

1–5 of 73

Institutions

66

  1. Tel Aviv University

    Tel Aviv, Israel

    5 h-index

    7 publications

    248 citations

  2. Adam Mickiewicz University in Poznań

    Poznan, Poland

    4 h-index

    10 publications

    214 citations

  3. University of Haifa

    Haifa, Israel

    4 h-index

    4 publications

    56 citations

  4. Hungarian Academy of Sciences

    Budapest, Hungary

    4 h-index

    4 publications

    213 citations

  5. Instituto Nacional de Matemática Pura e Aplicada

    Rio de Janeiro, Brazil

    4 h-index

    4 publications

    89 citations

  6. University of Illinois Urbana-Champaign

    Urbana, United States

    4 h-index

    4 publications

    81 citations

  7. Instituto de Pesquisas Jardim Botânico do Rio de Janeiro

    Rio de Janeiro, Brazil

    4 h-index

    4 publications

    89 citations

  8. Christian-Albrechts-Universität zu Kiel

    Kiel, Germany

    3 h-index

    7 publications

    144 citations

1–8 of 66

Venues

  1. Israel Journal of Mathematics

    9 publications · 418 citations

    9

    h-index

  2. The Electronic Journal of Combinatorics

    6 publications · 141 citations

    6

    h-index

  3. Acta Arithmetica

    5 publications · 83 citations

    5

    h-index

  4. 3

    h-index

  5. 3

    h-index

1–5