产品的外部因素对用户的群集行为有很大的影响, 然而在外部因素的影响下, 从理论模型上分析用户的群集行为却往往被忽略, 因此从理论模型角度分析了用户产品二部分网络结构特性。综合考虑了外部因素和内在属性, 建立了用户选择产品的理论模型, 并利用生成函数推导了用户和产品的度分布及投影后用户和产品的度分布。最后, 举例分析并进行了数值模拟, 发现模拟结果与理论分析结果非常吻合, 证明了这种方法对于分析二部分网络结构特性是有效的。
The external factor plays an important role in affecting user's collective behaviors. However, the external factor from the viewpoint of theoretical model to analyze user's collective behaviors is missing. Thus this paper analyzed the structural property of user-object bipartite networks from a theoretical model. By taking into account the external factors and intrinsic attributes, with the help of generation function, it developed a theoretical model to derivate both the degree distributions of the user and object as well as their unipartite projections. Further, this paper gave an example and numerical simulations. The results show that the results of numerical simulation are consistent with the empirical ones very well, which suggests that it is feasible to analyze structural property of bipartite networks in terms of external factors and intrinsic attributes.