Why is the assumption of high mean nodal degree necessary to achieve a scale-free network with the scaling exponent as 1? Explain.

What will be an ideal response?

In the regime of
? = 1, the cutoff of the degree distribution must remain finite and thus,
identifying such scaling becomes difficult in the context of sparse networks. Conversely, with
higher mean degree value, the scaling exponent
? = 1 can be prominently realized.