增长速度对合作网络参与者节点度分布的影响

Influence of growth speed on the actors' degree distribution of collaboration networks

采用率方程对合作网络自组织演化模型进行解析,得到参与者节点度分布服从Yule-Simon分布,这种分布可以用漂移幂律分布近似.分析参与者节点增长速度与参与者节点度分布之间的关系,发现随节点增长速度加快,参与者节点度分布远离幂律,表明节点增长速度是除优先连接之外的另一个影响合作网络拓扑性质的重要因素.通过对城市公交网络和科研合作网络的实证研究,验证了度分布解析结果的正确性.结合实证研究,探讨了合作网络中参与者节点增长速度的形成机制及其实际意义.

We present an analytical analysis of the actors’ degree distribution of collaboration networks by the rate equation approach. The results show that the actors’ degree follows a Yule-Simon distribution and this distribution can be well approximated by a shifted power law function. We find that the actors’ degree distribution has a large deviation from power-law with the increase of the growth speed of actors. It indicates that the growth speed of actors is another key factor influencing the topological properties of collaboration networks besides preferential attachment. The results of our analytical analysis can be well fitted with the empirical data from some public transport networks and scientists collaboration networks. Furthermore, we discuss the generating mechanism of the growth speed of actors in evolution of collaboration networks and its potential value of application in real-world networks.