Consider a network composed of 3 agents with the following links: 12, 23 31. Compute {a} the betweenness centrality [2 pt]; (b) the eigenvector centrality {show all the necessary algebraic steps) [3 pt.]; (c) the Bonacich centrality with 5 : 0.2 {show all the necessary algebraic steps) [3 pt.]. (d) 'What can you say about individual clustering ? what if a new node, 4, enters in the network and connects with agent 3? [2 pt.]