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Exponential Inequalities for the Distribution Tails of the Number of Cycles in the Erdös-Rényi Random Graphs Full article

Journal Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126
Output data Year: 2022, Volume: 32, Number: 2, Pages: 87-93 Pages count : 7 DOI: 10.1134/S105513442202002X
Tags cycle; Erdös-Rényi random graph; exponential inequality; number of subgraphs
Authors Bystrov A.A. 1 , Volodko N.V. 1,2
Affiliations
1 Novosibirsk State University, Novosibirsk, 630090, Russian Federation
2 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation

Funding (1)

1 Russian Science Foundation 22-21-00414

Abstract: Abstract: An exponential upper bound is obtained for the tail probability of the centered andnormalized number of cycles in an Erdös-Rényi random graph where every edgeoccurs with the same probability, independently of the others.
Cite: Bystrov A.A. , Volodko N.V.
Exponential Inequalities for the Distribution Tails of the Number of Cycles in the Erdös-Rényi Random Graphs
Siberian Advances in Mathematics. 2022. V.32. N2. P.87-93. DOI: 10.1134/S105513442202002X Scopus РИНЦ OpenAlex
Original: Быстров А.А. , Володько Н.В.
Экспоненциальные неравенства для вероятностей уклонений числа циклов в графах Эрдёша-Реньи
Математические труды. 2022. Т.25. №1. С.63-73. DOI: 10.33048/mattrudy.2022.25.103 РИНЦ
Dates:
Submitted: Jan 3, 2022
Accepted: Feb 4, 2022
Published online: Jun 18, 2022
Identifiers:
Scopus: 2-s2.0-85132111685
Elibrary: 48721274
OpenAlex: W4283068932
Citing:
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Scopus 2
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