Concepedia

Schur Numbers

Schur Number is a Ramsey-theoretic integer-valued function that denotes the largest integer for which the interval of positive integers up to that number can be partitioned into sum-free sets, thereby determining the threshold beyond which any such partition must contain a monochromatic solution to the equation x + y = z.

295

Publications

11.2K

Citations

380

Authors

269

Institutions

Publications per year

2017–2026

43

Parents

Publications

295

Schur complements and statistics

Diane Valérie Ouellette · Linear Algebra and its Applications · 1981 · 383 citations · Full text

, , +6

Manifestations of the Schur complement

Richard W. Cottle · Linear Algebra and its Applications · 1974 · 348 citations

, , +3

Schur indices, BPS particles, and Argyres-Douglas theories

Clay Córdova, Shu-Heng Shao · Journal of High Energy Physics · 2016 · 191 citations · Full text

, , +10

Vertex operator algebras, Higgs branches, and modular differential equations

Christopher Beem, Leonardo Rastelli · Journal of High Energy Physics · 2018 · 169 citations · Full text

, , +15

On Schur algebras and related algebras, II

Stephen Donkin · Journal of Algebra · 1987 · 165 citations

, , +10

1–5 of 295

Authors

380

  1. PN
    Peyman Niroomand

    Damghan University, Iran

    7 publications · 123 citations

    7

    h-index

  2. ZO
    Zyozyu Ohmori

    Tokyo Metropolitan University, Japan

    6 publications · 110 citations

    6

    h-index

  3. SV
    Stephanie van Willigenburg

    University of British Columbia, Canada

    5 publications · 167 citations

    5

    h-index

  4. MB
    Mark Benard

    Tulane University, United States

    5 publications · 155 citations

    5

    h-index

  5. GJ
    Gerald Janusz

    University of Illinois Urbana-Champaign, United States

    4 publications · 99 citations

    4

    h-index

1–5 of 380

Institutions

269

  1. Massachusetts Institute of Technology

    Cambridge, United States

    8 h-index

    11 publications

    509 citations

  2. University of California San Diego

    San Diego, United States

    7 h-index

    8 publications

    296 citations

  3. University of British Columbia

    Vancouver, Canada

    7 h-index

    11 publications

    438 citations

  4. Institute for Advanced Study

    Princeton, United States

    6 h-index

    8 publications

    531 citations

  5. University of Michigan

    Ann Arbor, United States

    6 h-index

    6 publications

    285 citations

  6. Damghan University

    Dāmghān, Iran

    6 h-index

    6 publications

    106 citations

  7. University of California, Berkeley

    Berkeley, United States

    5 h-index

    5 publications

    106 citations

  8. Tokyo Metropolitan University

    Tokyo, Japan

    5 h-index

    5 publications

    108 citations

1–8 of 269

Venues

  1. Journal of Algebra

    37 publications · 1.4K citations

    20

    h-index

  2. Journal of High Energy Physics

    JHEP · 21 publications · 1.1K citations

    18

    h-index

  3. Linear Algebra and its Applications

    15 publications · 1.3K citations

    13

    h-index

  4. Journal of Combinatorial Theory Series A

    12 publications · 546 citations

    12

    h-index

  5. Pacific Journal of Mathematics

    10 publications · 341 citations

    10

    h-index

1–5