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

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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.

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Bystrov, A. A., & Volodko, N. V. (2022). Exponential Inequalities for the Distribution Tails of the Number of Cycles in the Erdös-Rényi Random Graphs. Siberian Advances in Mathematics, 32(2), 87–93. https://doi.org/10.1134/S105513442202002X

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