Moderate deviations of subgraph counts in the Erdős-Rényi random graphs G(n,m) and G(n,p)

The main contribution of this article is an asymptotic expression for the rate associated with moderate deviations of subgraph counts in the Erdős-Rényi random graph G(n,m). Our approach is based on applying Freedman's inequalities for the probability of deviations of martingales to a martingal...

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Príomhchruthaitheoirí: Goldschmidt, C, Simon Griffiths, Scott, A
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: American Mathematical Society 2020