Necessary and sufficient conditions on the generating measure are derived for eventual connectedness and almost-completeness of edge exchangeable graphs, with a sufficient condition for asymptotic normality of the vertex count.
Convergence of double sum ∑ m,n 1 mp+nk
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Edge Exchangeable Graphs: Connectedness, Gaussianity and Completeness
Necessary and sufficient conditions on the generating measure are derived for eventual connectedness and almost-completeness of edge exchangeable graphs, with a sufficient condition for asymptotic normality of the vertex count.