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Doklady Akademii Nauk, 2018, Volume 478, Number 3, Pages 271–273
DOI: https://doi.org/10.7868/S0869565218030040
(Mi dan47475)
 

This article is cited in 13 scientific papers (total in 13 papers)

On a bound in extremal combinatorics

A. M. Raigorodskiia, A. A. Sagdeevb

a Moscow Institute of Physics and Technology (State University)
b Moscow State University
Citations (13)
Abstract: A new statement of a recent theorem of [1, 2] on the maximum number of edges in a hypergraph with forbidden cardinalities of edge intersections is given. This statement is fundamentally simpler than the original one, which makes it possible to obtain important corollaries in combinatorial geometry and Ramsey theory.
English version:
Doklady Mathematics, 2018, Volume 97, Issue 1, Pages 47–48
DOI: https://doi.org/10.1134/S1064562418010155
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Linking options:
  • https://www.mathnet.ru/eng/dan47475
  • This publication is cited in the following 13 articles:
    1. A. V. Berdnikov, A. M. Raigorodskii, “Bounds on Borsuk numbers in distance graphs of a special type”, Problems Inform. Transmission, 57:2 (2021), 136–142  mathnet  crossref  crossref  isi
    2. Ph. A. Pushnyakov, A. M. Raigorodskii, “Estimate of the Number of Edges in Special Subgraphs of a Distance Graph”, Math. Notes, 107:2 (2020), 322–332  mathnet  crossref  crossref  isi  elib
    3. A. V. Bobu, A. E. Kupriyanov, A. M. Raigorodskii, “A Generalization of Kneser Graphs”, Math. Notes, 107:3 (2020), 392–403  mathnet  crossref  crossref  mathscinet  isi
    4. Margarita B. Akhmejanova, Dmitry A. Shabanov, “Equitable colorings of hypergraphs with few edges”, Discrete Applied Mathematics, 276 (2020), 2  crossref
    5. A. A. Sagdeev, “On the Chromatic Numbers Corresponding to Exponentially Ramsey Sets”, J Math Sci, 247:3 (2020), 488  crossref
    6. L. I. Bogolubsky, A. M. Raigorodskii, “A Remark on Lower Bounds for the Chromatic Numbers of Spaces of Small Dimension with Metrics 1 and 2”, Math. Notes, 105:2 (2019), 180–203  mathnet  crossref  crossref  mathscinet  isi  elib
    7. A. A. Sagdeev, “On a Frankl–Wilson Theorem”, Problems Inform. Transmission, 55:4 (2019), 376–395  mathnet  crossref  crossref  isi  elib
    8. A. M. Raigorodskii, E. D. Shishunov, “On the Independence Numbers of Some Distance Graphs with Vertices in {–1, 0, 1}n*”, Dokl. Math., 99:2 (2019), 165  crossref
    9. A. Sagdeev, “On the Frankl–Rödl theorem”, Izv. Math., 82:6 (2018), 1196–1224  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. A. A. Sagdeev, “Improved Frankl–Rödl theorem and some of its geometric consequences”, Problems Inform. Transmission, 54:2 (2018), 139–164  mathnet  crossref  isi  elib
    11. A. A. Sagdeev, “Exponentially Ramsey sets”, Problems Inform. Transmission, 54:4 (2018), 372–396  mathnet  crossref  isi  elib
    12. A. A. Sagdeev, “O khromaticheskikh chislakh, sootvetstvuyuschikh eksponentsialno ramseevskim mnozhestvam”, Kombinatorika i teoriya grafov. X, Zap. nauchn. sem. POMI, 475, POMI, SPb., 2018, 174–189  mathnet
    13. A. M. Raigorodskii, T. V. Trukhan, “On the chromatic numbers of some distance graphs”, Dokl. Math., 98:2 (2018), 515–517  mathnet  mathnet  crossref  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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