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 ...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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 10975126 and 91024026.
文摘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.