Scale-free Networks

Consider the following statements about scale-free networks:

I. In scale-free networks, the variance of the degree (<k²>) may diverge when the power-law exponent is less than or equal to 3, leading to important consequences for network robustness and dynamics.
II. For γ < 2, the largest hub grows proportionally to N, increasingly concentrating the network’s connections.
III. All real-world networks are scale-free, since power laws are universal in complex systems.

Which statements are correct?
  1. Only I
  2. I and II
  3. II and III
  4.  I and III
  5. None of the above.

Original idea by: Heigon Soldera

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