Scale-Free Network

A Scale-Free Network is a Complex Network that ...

• See: Fitness Model (Network Theory), Complex Network, Degree Distribution, Power Law, Preferential Attachment.

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References

2017

• (Wikipedia, 2017) ⇒ https://en.wikipedia.org/wiki/scale-free_network Retrieved:2017-7-25.
  • A scale-free network is a network whose degree distribution follows a power law, at least asymptotically. That is, the fraction P(k) of nodes in the network having k connections to other nodes goes for large values of k as : [math]\displaystyle{ P(k) \ \sim \ k^\boldsymbol{-\gamma} }[/math] where [math]\displaystyle{ \gamma }[/math] is a parameter whose value is typically in the range 2 < [math]\displaystyle{ \gamma }[/math] < 3, although occasionally it may lie outside these bounds. Many networks have been reported to be scale-free, although statistical analysis has refuted many of these claims and seriously questioned others. Preferential attachment and the fitness model have been proposed as mechanisms to explain conjectured power law degree distributions in real networks.

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