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Matematicheskie Trudy, 2022, Volume 25, Number 1, Pages 63–73
DOI: https://doi.org/10.33048/mattrudy.2022.25.103 (Mi mt660) 		 
Exponential inequalities for the distribution of the number of cycles in the Erdös-Rényi random graph

A. A. Bystrova, N. V. Volod'kob

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/mattrudy.2022.25.103
Abstract: Exponential upper bounds are obtained for the tail probabilities of the centered and normalized number of cycles in the Erdös-Rényi graph.
Key words: Erdös-Rényi random graph, number of subgraphs, cycle, exponential inequality.
Funding agency Grant number
Russian Science Foundation 22-21-00414
Received: 21.02.2022
Revised: 05.04.2022
Accepted: 12.05.2022
Document Type: Article
UDC: 519.2.1+519.14
Language: Russian
Citation: A. A. Bystrov, N. V. Volod'ko, “Exponential inequalities for the distribution of the number of cycles in the Erdös-Rényi random graph”, Mat. Tr., 25:1 (2022), 63–73
Citation in format AMSBIB
\Bibitem{BysVol22}
\by A.~A.~Bystrov, N.~V.~Volod'ko
\paper Exponential inequalities for the distribution of the number of cycles in the Erd\"os-R\'enyi random graph
\jour Mat. Tr.
\yr 2022
\vol 25
\issue 1
\pages 63--73
\mathnet{http://mi.mathnet.ru/mt660}
\crossref{https://doi.org/10.33048/mattrudy.2022.25.103}
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