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 ; 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.
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 ; 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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 69EQ
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