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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 502, Pages 19–22
DOI: https://doi.org/10.31857/S2686954322010052 (Mi danma231) 		 
MATHEMATICS

On Ramsey numbers for arbitrary sequences of graphs

V. S. Karasa, A. M. Raigorodskiiabcd

a Lomonosov Moscow State University, Moscow, Russia
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region, Russia
c Caucasus Mathematical Center, Adyghe State University, Maykop, Russia
d Buryat State University, Institute for Mathematics and Informatics, Ulan-Ude, Russia
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DOI: https://doi.org/10.31857/S2686954322010052
Abstract: In this work, we study non-trivial generalizations of Ramsey numbers in the case of arbitrary sequences of graphs. For many classes of sequences we found exact values or asymptotics for Ramsey numbers.
Keywords: Ramsey numbers, independence numbers, stability, random graphs.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-2540.2020.1
This work was supported by the Program of Leading Scientific Schools, project no. NSh-2540.2020.1.
Presented: V. V. Kozlov
Received: 16.09.2021
Revised: 06.01.2022
Accepted: 12.01.2022
English version:
Doklady Mathematics, 2022, Volume 105, Issue 1, Pages 14–17
DOI: https://doi.org/10.1134/S1064562422010057
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: V. S. Karas, A. M. Raigorodskii, “On Ramsey numbers for arbitrary sequences of graphs”, Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022), 19–22; Dokl. Math., 105:1 (2022), 14–17
Citation in format AMSBIB
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\by V.~S.~Karas, A.~M.~Raigorodskii
\paper On Ramsey numbers for arbitrary sequences of graphs
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\vol 502
\pages 19--22
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\crossref{https://doi.org/10.31857/S2686954322010052}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4448457}
\elib{https://elibrary.ru/item.asp?id=48050920}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 1
\pages 14--17
\crossref{https://doi.org/10.1134/S1064562422010057}
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