Consider the following network. Don't forget to explain rationales behind your answer. 2 3 5 8 (a) What is the diameter of the network? (b) What is the node connectivity between node 3 and node 9? (c) Show a minimum nod cut set between node 3 and node 9. 9 (d) Calculate all eigenvalues of the adjacency matrix. Using some coding is recommended (while not mandatory) Show your computational work by pasting your code and its output. (e) Similar to (d), calculate all eigenvalues of the Laplacian matrix.