Critical random graphs: limiting constructions and distributional properties

We consider the Erdo{double acute}s-Rényi random graph G(n, p) inside the critical window, where p = 1/n + λn-4/3 for some λ ∈ R. We proved in Addario-Berry et al. [2009+] that considering the connected components of G(n, p) as a sequence of metric spaces with the graph distance rescaled by n-1/3 an...

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Bibliographic Details
Main Authors: Addario-Berry, L, Broutin, N, Goldschmidt, C
Format: Journal article
Language:English
Published: 2010