Scale-Free Networks
Explore the characteristics of scale-free networks, including their power-law degree distribution, growth process, and preferential attachment. Understand how the Barabási-Albert model generates such networks and use Python's NetworkX to simulate and analyze them.
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Scale-free networks
A scale-free network is a network that has the characteristic of having power-law distribution for the degree.
A power law is mathematically defined as:
This means that we have hubs, a small number of nodes that are connected to a lot of other nodes, therefore having a large degree, and lots of smaller nodes that are connected to few nodes, therefore having a small degree.
Here is an example of a power-law distribution for the degree, where