Concepedia

Sperner Theory

Sperner Theory is a branch of extremal combinatorics that studies the structure and maximum size of antichains in partially ordered sets, particularly focusing on families of subsets in which no member is contained in another.

87

Publications

3.9K

Citations

111

Authors

66

Institutions

Publications per year

2017–2026

5

Parents

Publications

87

Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property

Richard P. Stanley · SIAM Journal on Algebraic and Discrete Methods · 1980 · 450 citations

, , +9

Identifying the Minimal Transversals of a Hypergraph and Related Problems

Thomas Eiter, Georg Gottlob · SIAM Journal on Computing · 1995 · 427 citations

, , +17

Rental Harmony: Sperner's Lemma in Fair Division

Francis Edward Su · American Mathematical Monthly · 1999 · 256 citations

, , +4

The structure of sperner k-families

Curtis Greene, Daniel J. Kleitman · Journal of Combinatorial Theory Series A · 1976 · 224 citations

, , +6

Rental Harmony: Sperner's Lemma in Fair Division

Francis Edward Su · American Mathematical Monthly · 1999 · 194 citations

, , +4

1–5 of 87

Authors

111

  1. JR
    Jerrold R. Griggs

    University of South Carolina, United States

    7 publications · 187 citations

    7

    h-index

  2. GO
    Gyula O. H. Katona

    Hungarian Academy of Sciences, Hungary

    6 publications · 218 citations

    6

    h-index

  3. DJ
    Daniel J. Kleitman

    Massachusetts Institute of Technology, United States

    4 publications · 395 citations

    4

    h-index

  4. PL
    Péter L. Erdős

    Hungarian Academy of Sciences, Hungary

    4 publications · 72 citations

    4

    h-index

  5. AJ
    A. J. W. Hilton

    University of Reading, United Kingdom

    3 publications · 68 citations

    3

    h-index

1–5 of 111

Institutions

66

  1. Massachusetts Institute of Technology

    Cambridge, United States

    10 h-index

    15 publications

    1.4K citations

  2. Hungarian Academy of Sciences

    Budapest, Hungary

    5 h-index

    8 publications

    131 citations

  3. University of Rostock

    Rostock, Germany

    3 h-index

    3 publications

    40 citations

  4. University of Reading

    Reading, United Kingdom

    3 h-index

    6 publications

    164 citations

  5. University of South Carolina

    Columbia, United States

    3 h-index

    6 publications

    137 citations

  6. California Institute of Technology

    Pasadena, United States

    3 h-index

    3 publications

    150 citations

  7. Eötvös Loránd University

    Budapest, Hungary

    3 h-index

    4 publications

    128 citations

  8. University of California San Diego

    San Diego, United States

    2 h-index

    2 publications

    57 citations

1–8 of 66

Venues

  1. Journal of Combinatorial Theory Series A

    20 publications · 954 citations

    15

    h-index

  2. European Journal of Combinatorics

    6 publications · 95 citations

    6

    h-index

  3. Discrete Mathematics

    5 publications · 116 citations

    5

    h-index

  4. American Mathematical Monthly

    4 publications · 509 citations

    4

    h-index

  5. SIAM Journal on Discrete Mathematics

    4 publications · 66 citations

    4

    h-index

1–5