Power-Law Exponent for Exponential Growth Network

The question of the power-law exponent of exponential growth networks is studied here. In a discrete case, the degree distribution is defined as the probability distribution of the discrete variable. Based on this, the degree distribution of the pseudofractal scale-free web, an exponential growth network, is obtained. The power-law exponent ln3/ln2 is analyzed according to the maximum likelihood principle. It satisfies consistency and is good for small generations of the network. For many exponential growth networks, their power-law exponent needs to be tested. The work provides a new view on the power-law exponent of an exponential growth network.