Question: Consider undirected networks without self-loops or duplicate links. Given N nodes and a variable number of m edges, for what value of m do we

Consider undirected networks without self-loops or duplicate links. Given N nodes

Consider undirected networks without self-loops or duplicate links. Given N nodes and a variable number of m edges, for what value of m do we obtain the largest diversity of networks? And for this m, how does the number of networks scale with N ? (Hint: The so-called Stirling's approximation will be useful: (x+1)=x!2xx+1/2ex.)

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