摘要
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.
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 coeficient. 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.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
2005年第11期55-60,共6页
Systems Engineering-Theory & Practice
基金
国家自然科学基金重点资助项目(70431001)
关键词
复杂网络
合作网络
复杂系统
无标度
无序系统
complex networks
collaboration networks
complex systems
scale-free
disordered systems
