iterations of the function acting on itself.

The average number of 1st neighbors, , is and the average number of 2nd neighbors is:

Degree distribution for directed networks

In a directed network, each node has some in-degree and some out-degree which are the number of links which have run into and out of that node respectfully. If is the probability that a randomly chosen node has in-degree and out-degree then the generating function assigned to this joint probability distribution

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