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The situation is as follows: assume we have a sequence of simple weighted graphs $(G_n)_{n\in\Bbb{N}}$. For the terminology that follows I refer to Limits of dense graph sequences by László Lovász and ...

There has been much research related to web graphs and social graphs. They can be thought of as a kind of random graphs, but the point is that they are different from the well-known Erdős–Rényi model. ...