... specified shortly. The construction used in the proof issimilar but more involved than the one of the first part of the proof.For the remainder of the proof we will implicitly condition on the event ... increases, we expect an exponential decay of probabilities away from the mean of the sum. Since C is not further specified, this bound is only useful as k tends to in nity,which it may or may ... [7], the vertexdegree distribution of the random intersection graph is highly dependent on the value ofα, but as shown by Deijfen and Kets [3], the clustering is tunable only when α ≡ 1. In arecent...