一类无标度合作网络的演化模型

提出了一类特殊的无标度合作网络的演化模型.利用平均场方法解析计算了节点的增长动态性,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.给出了节点的集聚系数与度的关系表达式,并证明了网络的平均路径长度最多以网络的对数形式增长.数值模拟结果与理论计算值很好地吻合.

An Evolving Model for Scale-free Collaboration Networks

The collaboration networks can be found everywhere in real world.Since the collaboration networks have some particular mechanisms leading to their special topological properties,it is significant to construct a corresponding model.In this paper,we propose an evolving model aiming at a special kind of collaboration networks,of which the act-size is fixed.We prove that the degree distribution obeys power-law form with the exponent adjustable between 2 and 3.Also,we obtain the relation expression of vertex degree and its clustering coefficient.In addition,we prove that the increasing tendency of average path length is a little slower than the logarithm of network size.Further more,the simulation results are given out,which are in agreement with the theoretic calculations.