Mandelbrot Law of Evolving Networks

We show that the degree distribution of a growing network with linear preferential attachment approximately follows the Mandelbrot law, and propose an analytical method based on a recursive formula that can be used to obtain a more accurate expression of the shifting coefficient. Simulations demonstrate the advantages of our method. This work provides a possible mechanism leading to the Mandelbrot law of evolving networks, and refines the mainstream analytical methods for the shifting coefficient.