Heterogeneity of Scale-free Network Topology
无标度网络拓扑结构非均匀性研究

The heterogeneity of scale-free network topology is studied using network structure entropy(NSE).NSE of scale-free networks is presented analytically by introducing a degree-rank function.It is shown that NSE of scale-free networks is only dependent of the scaling exponent and independent of the size or the minimum degree of networks when scaling exponent is greater than 2.Given the size and the minimum degree of scale-free networks,it is shown that NSE reached a minimum value when scaling exponent is about equal to 1.7 and then NSE increases with increasing scaling exponent after the minimum value.