Scale Free Network
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A scale-free network is a complex network|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 : P(k) \ \sim \ k^\boldsymbol{-\gamma} where \gamma is a parameter whose value is typically in the range 2 \gamma < 3, although occasionally it may lie outside these bounds. Many networks are conjectured to be scale-free, including World Wide Web links, biological networks, and social networks, although the scientific community is still discussing these claims as more sophisticated data analysis techniques become available. Preferential attachment and the fitness model (network theory)|fitness model have been proposed as mechanisms to explain conjectured power law degree distributions in real networks.
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Scale Free    
Random Graph    
Small World    
Power Law    
Large Scale    
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