社团结构生长网络模型研究

Study of Evolving Network Model with Community Structure

在有社团结构的网络中,为了研究社团之间的连接方式及社团内部个体之间的连接方式对整个网络结构的影响,建立了一个带有社团结构的网络模型.在社团内部仍采取度优先选择机制,在社团之间采取了社团平均度优先选择的方式.基于这样的选择方式生成了一个新的网络,获得了网络节点的度分布与联合度分布,并且发现该网络仍是一个无标度网络.最后利用数值模拟很好地验证了理论计算结果.

The connection relation among communities and the individuals in a community have a great effect on the whole network structure on the networks with community structure. In order to investigate the effect, an evolving network model with community structure was proposed, which is based on the inner-community preferential attachment and outer-community preferential attachment mechanisms in terms of the average de- grees of community. A new network was generated on the above basis of mechanisms, and we obtain the de- gree distribution and the joint distribution, which indicates that the obtained network has scale-free proper- ties. Furthermore, numerical simulations confirm the analysis results very well.