Question: Let Bn be the event that a graph randomly generated according to G(n, p) model has at least one isolated node. Show that And conclude

Let Bn be the event that a graph randomly generated according to G(n, p) model has at least one isolated node. Show thatP(Bn) n(1-p)n-1.

And conclude that for anyIn(n) > 0, if p = Pn = (1 + ) then lim P(B) = 0. n0 n

P(Bn) n(1-p)n-1.

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