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Exponential Inequalities for the Tail Probabilities of the Number of Cycles in Generalized Random Graphs Full article

Journal Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126
Output data Year: 2023, Volume: 33, Number: 3, Pages: 181-189 Pages count : 9 DOI: 10.1134/s1055134423030021
Tags random graph, number of subgraphs, cycle, Hoffding’s inequality
Authors Bystrov A.A. 1 , Volodko N.V. 2
Affiliations
1 Novosibirsk State University, Novosibirsk, Russia
2 Sobolev Institute of Mathematics, Novosibirsk, Russia

Funding (1)

1 Russian Science Foundation 22-21-00414

Abstract: Let Rn be the centered and normalized number of cycles offixed length contained in a generalized random graph with n vertices. We obtain a Höffding-type exponential inequality for the tail probability of Rn
Cite: Bystrov A.A. , Volodko N.V.
Exponential Inequalities for the Tail Probabilities of the Number of Cycles in Generalized Random Graphs
Siberian Advances in Mathematics. 2023. V.33. N3. P.181-189. DOI: 10.1134/s1055134423030021 Scopus РИНЦ OpenAlex
Original: Быстров А.А. , Володько Н.В.
Экспоненциальные неравенства для вероятностей уклонений числа циклов в обобщенных случайных графах
Математические труды. 2023. Т.26. №2. С.30-43. DOI: 10.33048/mattrudy.2023.26.202 РИНЦ
Dates:
Submitted: Jun 25, 2023
Accepted: Jul 20, 2023
Published print: Sep 1, 2023
Published online: Sep 1, 2023
Identifiers:
Scopus: 2-s2.0-85169695684
Elibrary: 64150415
OpenAlex: W4386367590
Citing:
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