Generate three ER graphs: graph G 1 with 100 nodes and edge probability 0.08, graph G 2 with 150 nodes and edge probability 0.07, and graph G 3 with 200 nodes and edge probability 0.05. Ensure that each of the three graphs is connected. Now add 10 additional edges among these three graphs to create a single connected graph G. Using the spectral clustering method, write a program to find three clusters in the graph G. Comment on the clusters you identified and whether the clusters you found are same as G 1 , G 2, and G 3
What will be an ideal response?
This problem is a computer-based exercise. You may use an appropriate software such Matlab
for solving this problem. Some useful code fractions can be found at the support website:
https://complexnetworksbook.github.io
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