内部演化的BA无标度网络模型

A BA Scale Free Network Model with Inner Evolving

在BA(Barabási-A lbert)无标度网络模型的基础上,考虑网络节点增长的同时,网络已有节点连线也在增加。在这个BA网络改进模型中,引入了两个主要参数q1,q2,通过理论分析,导出了这个内部演化的增长网络的度分布,发现它仍然具有无标度网络的一般性质,BA无标度网络是它的一种特殊情形。数值仿真验证了理论分析的正确性。这个改进模型比BA网络模型具有更广泛的实际背景,利用它可以更真实地模拟与刻画现实中许多复杂网络的演化及其特征。

We propose and study an inner evolving network model, which is based on the BA（Barabási-Albert） Scale-Free model. That is, the network is growing with not only nodes but also the links of inner part of the network. New links are added between existing nodes before adding new nodes. We design two parameters ql and q2 in this model, and we can regulate the values of them in order to investigate the characters of network growing. We have deduced the degree distribution theoretically and proved the correctness of the theoretical result by our simulation. This improvement of BA model has more broad practical backgrounds. It can simulate and describe the evolutions and characters for many real world complex networks more exactly.