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Submission 2

Given a graph and its probability of a node degree \(k\): For graph \(G \), \( P_k = 2k^{-2}\) For graph \(G' \), \( P'_k = min(2k^{-2}, 1000)\) and the following statements: \(G\) is a scale-free network with \(\gamma = 2\) and \( k_{min} = 2 \) \(G\) is a scale-free network with \(\gamma = 2\) and \( k_{min} = 1 \) For larger number of nodes, \(G'\) will not have a scale-free topology because its hubs will be limited by at maximum 1000 links. Which statements are correct? Only II Both II and III Only I Both I and III None of the above Original idea by: Giuliano Macedo.