演员合作网的可重复连线模型

Repeatable Linked Model for Actor Collaboration Network

复杂网络中,除了会增加新节点和边之外,旧节点之间的相互作用关系强度也可能增加.本文以演员合作网为例,提出了一个可重复连线的模型,该模型结合了重复连线(即两节点之间可以有一条以上的边来反映强度的增加)和增长择优机理,更符合演员合作网的拓扑结构.通过计算机模拟和公式推导,该模型中节点的度分布显示出幂律尾部的特性,而且其衰减指数在一定条件下与实证研究结果是一致的.

In complex networks, except for adding new nodes, the weight of relation between two nodes is very important. In this paper, taking the actor collaboration network as the example, we present a repeatable linked model. This model integrates two mechanisms： repeatable link （namely, the number of edges that reflect the increasing of weight between two nodes is more than 1） and preferential growth, according with the topology of the act collaboration network. By simulation and derivation, the degree of nodes in this model obeys the power-law distribution, and its attenuation exponent coincides with the result of the empirical study.