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math.PR2021
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…
math.PR2021
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)…