Poisson approximation of subgraph counts in stochastic block models and a graphon model

Small subgraph counts can be used as summary statistics for large random graphs. We use the Stein-Chen method to derive Poisson approximations for the distribution of the number of subgraphs in the stochastic block model which are isomorphic to some fixed graph. We also obtain Poisson approximations...

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Bibliographic Details
Main Authors: Coulson, M, Gaunt, R, Reinert, G
Format: Journal article
Published: EDP Sciences 2016