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Networks can be classified into different classes based on their degree distribution.

So far I know there are two kind of network

1) Scale Free Networks (can be generated using barabasia and albert's model)

2) Random Networks

Degree Distribution of scale free/random networks

Are their other kind of networks? How can we generate them?

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Another classical network model is Small World networks by Watts and Strogatz. You can have a look at their seminal paper here

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