Concepedia

Ramsey-type Theorems

Ramsey-Type Theorems is a class of mathematical results in combinatorics that generalize the classical Ramsey Theorem by establishing conditions under which order necessarily emerges in large, disordered structures, specifically guaranteeing the existence of monochromatic substructures under finite partitions.

763

Publications

29K

Citations

781

Authors

433

Institutions

Publications per year

2017–2026

90

Parents

Publications

763

A partition calculus in set theory

Péter L. Erdős, R. Rado · Bulletin of the American Mathematical Society · 1956 · 439 citations · Full text

, , +10

Small Ramsey Numbers

Stanisław Radziszowski · The Electronic Journal of Combinatorics · 2011 · 430 citations · Full text

, , +16

Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups

Alexander S. Kechris, Vladimir Pestov, Stevo Todorčević · Geometric and Functional Analysis · 2005 · 393 citations

, , +16

A note on Ramsey numbers

Miklós Ajtai, János Komlós, Endre Szemerédi · Journal of Combinatorial Theory Series A · 1980 · 371 citations

, , +8

Combinatorics of open covers I: Ramsey theory

Marion Scheepers · Topology and its Applications · 1996 · 359 citations

, , +13

1–5 of 763

Authors

781

  1. VR
    Vojtěch Rödl

    Emory University, United States

    26 publications · 1.1K citations

    19

    h-index

  2. BS
    Benny Sudakov

    Princeton University, United States

    26 publications · 948 citations

    18

    h-index

  3. CR
    Cecil Rousseau

    University of Memphis, United States

    21 publications · 445 citations

    15

    h-index

  4. PE
    Paul Erdős

    Hungarian Academy of Sciences, Hungary

    15 publications · 698 citations

    15

    h-index

  5. JN
    Jaroslav Nešetřil

    Charles University, Czechia

    21 publications · 689 citations

    15

    h-index

1–5 of 781

Institutions

433

  1. Hungarian Academy of Sciences

    Budapest, Hungary

    25 h-index

    79 publications

    3.3K citations

  2. Tel Aviv University

    Tel Aviv, Israel

    20 h-index

    33 publications

    1.6K citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    19 h-index

    49 publications

    1.6K citations

  4. University of Memphis

    Memphis, United States

    17 h-index

    64 publications

    1.4K citations

  5. Emory University

    Atlanta, United States

    16 h-index

    30 publications

    761 citations

  6. Charles University

    Prague, Czechia

    15 h-index

    45 publications

    1.3K citations

  7. Princeton University

    Princeton, United States

    15 h-index

    16 publications

    783 citations

  8. Institute for Advanced Study

    Princeton, United States

    15 h-index

    20 publications

    1.3K citations

1–8 of 433

Venues

  1. Journal of Graph Theory

    66 publications · 2.2K citations

    28

    h-index

  2. Discrete Mathematics

    72 publications · 2.2K citations

    26

    h-index

  3. Journal of Symbolic Logic

    39 publications · 2K citations

    22

    h-index

  4. Combinatorics Probability Computing

    36 publications · 1.1K citations

    22

    h-index

  5. Journal of Combinatorial Theory Series B

    37 publications · 1.4K citations

    21

    h-index

1–5