6 citations · 10 across the 5 of their papers we have counts for
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The strong component structure of the barely subcritical directed configuration model
Matthew Coulson
We study the behaviour of the largest components of the directed configuration model in the barely subcritical regime. We show that with high probability all strongly connected com…
Largest component of subcritical random graphs with given degree sequence
Matthew Coulson, Guillem Perarnau
We study the size of the largest component of two models of random graphs with prescribed degree sequence, the configuration model (CM) and the uniform model (UM), in the (barely)…
Compound Poisson approximation of subgraph counts in stochastic block models with multiple edges
Matthew Coulson, Robert E. Gaunt, Gesine Reinert
We use the Stein-Chen method to obtain compound Poisson approximations for the distribution of the number of subgraphs in a generalised stochastic block model which are isomorphic…
Poisson approximation of subgraph counts in stochastic block models and a graphon model
Matthew Coulson, Robert E. Gaunt, Gesine Reinert
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…