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Consider the directed network G = ( V , E ) with N = 5 nodes and L = 8 links, in which node 1

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 nodes 2 and
4, node 4 points to node 2, and node 5 points to nodes 3 and 4.
(f) State the definition of the Katz centrality. Calculate the Katz centrality xi 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.
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