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3. [20 pts] Erd?s-Rényi Networks Consider an Erd?s-Rényi network with N = 20,000 nodes, in which an arbitrary pair of nodes are connected with a probability p = 10^-4.(a) What is the expected number of links (L)?(b) In which regime is the network, subcritical, supercritical or connected?(c) Calculate the probability pc for the given network size N = 20,000 so that the network is at the critical point.(d) Given the linking probability p = 10^-4, calculate the number of nodes Nc so that the networ
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