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For my purpose F doesn't need to be Erdos-Renyi at all. What I am actually looking at is here...en.wikipedia.org/wiki/Exponential_random_graph_models Anyway, I realized how this problem could be...Thanks. You have been very helpful.
Thank you! I am sure that the distribution I am looking at gives positive probability to any possible simple graphs...Would you give me some sources that I can look at?
