无标度合作网络的度分布

The degree distribution of the scale-free and collaboration network model

采用主方程方法计算了一类特殊的无标度合作网络的节点增长的动态性,证明了该网络是节点度分布符合幂律分布的无标度网络,其幂指数位于2和3之间.时间无限大时得到的度分布解的形式与BA网络的形式相似.

In this paper,an evolving model aiming at a special kind of collaboration networks is proposed;the master equation is given,which its rigorous analytical solution is obtained and satisfied by degree distribution of the evolving network.It is proved that the degree distribution obeys prover-low form with the exponent adjustable between 2 and 3.The degree distribution is the similar to that of BA network at infinite time.