Scale-free Network

Regarding scale-free networks and degree distributions with exponent \(\gamma\), which of the following statements is FALSE ?

A) If \(\gamma < 2\), the first and second moment diverges.

B) If \(2 < \gamma < 3\) the fist moment converges but the second moment diverges.

C) If \(\gamma > 3\), the first and second moment converges

D) If \(\gamma = 2\), the maximum degree \(k_{max}\) scales linearly with the network size

E) None of the above

Original idea by: Fernando de Facio Rossetti

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