And in the main article it says: "Properties of G(n, p)

As mentioned above, a graph in G(n, p) has on average \tbinom{n}{2} p edges. The distribution of the degree of any particular vertex is binomial:"

Am I right to assume that it is the G(n, M) model which has a poisson distribution or did I miss something or is there a mistake. As a general comment the main article seems to focus mainly on the G(n, M) model with little discussion on the G(n, p) model.

S243a (talk) 21:45, 4 July 2009 (UTC)John Creighton

However, if the number of nodes is large relative to the average order then the statistics tend towards Poisson statistics. I'll be more precise later. Anyway, in most networks of interest in sociology the number of nodes (people) can be very large (up to five billion) well, the average number of links can be very small (less then a few hundred). In the famous six degrees of seperation the number of nodes was chosen to be Thus if N = 300,000,000 (90% US pop.) and the average number of links was chosen to be 30. http://en.wikipedia.org/wiki/Six_degrees_of_separation#Mathematics