answer the question below:
(a) Starting with a 30 × 30 grid network, generate a small-world network using pure random
addition of new links with probability 0.05. Plot the spectral densities of the adjacency as well as Laplacian matrices of the network. The spectral density plots should be averaged
over 1000 experiments.
(b) Starting with a 900-node 6-regular network, generate a small-world network using the WS
model with the rewiring probability of 0.05. Plot the spectral densities of the adjacency as
well as Laplacian matrices of the network. The spectral density plots should be averaged
over 1000 experiments. Compare these plots with those in part (a).
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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