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Microsoft
The Phase Transition in Random Graphs: A Simple Proof
The classical result of Erdos and Renyi shows that the random graph G(n,p) experiences sharp phase transition around p=1/n – for any ε0 and p=(1-ε)/n, all connected components of G(n,p) are typically of size O(log n), while for p=(1+ε)/n, with high probability there exists a connected component of size linear in n. We provide a […]
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