Concepedia

Sperner's Lemma

Sperner's Lemma is a combinatorial result in topological combinatorics that asserts the existence of a fully labeled simplex in any proper labeling of a triangulated simplex, thereby providing a discrete analog of the Brouwer fixed-point theorem.

69

Publications

2.5K

Citations

90

Authors

58

Institutions

Publications per year

2017–2026

3

Parents

Publications

69

Rental Harmony: Sperner's Lemma in Fair Division

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

, , +4

Some Combinatorial Lemmas in Topology

Harold W. Kuhn · IBM Journal of Research and Development · 1960 · 195 citations

, , +7

Rental Harmony: Sperner's Lemma in Fair Division

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

, , +4

Generalization of Sperner’s Theorem on the Number of Subsets of a Finite Set

L. D. Meshalkin · Theory of Probability and Its Applications · 1963 · 139 citations

, , +5

Strong versions of Sperner's theorem

Curtis Greene, Daniel J. Kleitman · Journal of Combinatorial Theory Series A · 1976 · 137 citations

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1–5 of 69

Authors

90

  1. JR
    Jerrold R. Griggs

    University of South Carolina, United States

    5 publications · 97 citations

    5

    h-index

  2. GO
    Gyula O. H. Katona

    Hungarian Academy of Sciences, Hungary

    4 publications · 192 citations

    4

    h-index

  3. RM
    Robert M. Freund

    Massachusetts Institute of Technology, United States

    3 publications · 59 citations

    3

    h-index

  4. HO
    Hans-Dietrich O. F. Gronau

    University of Rostock, Germany

    3 publications · 38 citations

    3

    h-index

  5. FE
    Francis Edward Su

    Harvey Mudd College, United States

    3 publications · 499 citations

    3

    h-index

1–5 of 90

Institutions

58

  1. Massachusetts Institute of Technology

    Cambridge, United States

    7 h-index

    10 publications

    456 citations

  2. University of Rostock

    Rostock, Germany

    3 h-index

    3 publications

    40 citations

  3. University of South Carolina

    Columbia, United States

    3 h-index

    6 publications

    137 citations

  4. Eötvös Loránd University

    Budapest, Hungary

    3 h-index

    4 publications

    128 citations

  5. University of California, Riverside

    Riverside, United States

    2 h-index

    2 publications

    41 citations

  6. California Institute of Technology

    Pasadena, United States

    2 h-index

    3 publications

    106 citations

  7. Hungarian Academy of Sciences

    Budapest, Hungary

    2 h-index

    4 publications

    68 citations

  8. University of California, Los Angeles

    Los Angeles, United States

    2 h-index

    3 publications

    85 citations

1–8 of 58

Venues

  1. Journal of Combinatorial Theory Series A

    14 publications · 582 citations

    13

    h-index

  2. American Mathematical Monthly

    4 publications · 509 citations

    4

    h-index

  3. European Journal of Combinatorics

    4 publications · 66 citations

    4

    h-index

  4. Discrete Mathematics

    3 publications · 77 citations

    3

    h-index

  5. Mathematics of Operations Research

    3 publications · 59 citations

    3

    h-index

1–5