Starting with Geometrically Growing Networks

How to judge whether the degree distribution of a real network or model network(e.g.,hierarchical networks,pseudofractal graphs,Apollonian networks,etc.) is power-law,and to determine its degree exponent,this problem deals with the measurement of degree distributions.There are three methods:size-frequency;logarithmic binning;size-rank or complementary CDF in the literature on complex networks.It is pointed out that correct method is plotting size-rank or complementary CDF on doubly-logarithmic scale.Since model network is an abstract of real network,only both degree distributions match case,we can not say it is just a correct model.For a real network,obtained data only is a subnetwork of real network,are their degree distributions the same? This still need to be explored.