(f) State the definition of the Katz centrality. Calculate the Katz centrality x; of each node of the network and rank the nodes, from the most to the least central, according to their Katz centrality. Do you get a different ranking from that obtained based on the eigenvector centrality? Explain why. and Consider the directed network G = (V,E) with N 5 nodes and L = 8 links, in which node 1 points to nodes 2 and 3, node 2 points to node 4, node 3 points to nod 4, node 4 points to node 2, and node 5 points to nodes 3 and 4. }}

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