一个新奇加权的演变网络模型基于派系,重叠生长被建议。模型在是优先的选择和随机的选择的二不同选择机制下面显示出不同网络特征。根据吝啬地的理论,在二不同选择机制下面的这个模型被分析。一个顶点加入的派系和模型的顶点力量的数字的分布的分析方程被给。两分发分别地在随机的选择机制在优先的选择机制和指数的分发跟随没有规模的幂定律分发,这被证明。相应分布的代表的分析表情被获得。在模拟和分析结果之间的协议显示理论分析的有效性。最后,在中国的北京,上海和 Hangzhou 的三个真实运输总线网络(BTN ) 被学习。由分析他们的网络性质,这些真实 BTN 与派系重叠生长和在这上下文被建议的随机的选择机制属于一种加权的演变网络模型,这被发现。
A novel weighted evolving network model based on the clique overlapping growth was proposed. The model shows different network characteristics under two different selection mechanisms that are preferential selection and random selection. On the basis of mean-field theory, this model under the two different selection mechanisms was analyzed. The analytic equations of distributions of the number of cliques that a vertex joins and the vertex strength of the model were given. It is proved that both distributions follow the scale-free power-law distribution in preferential selection mechanism and the exponential distribution in random selection mechanism, respectively. The analytic expressions of exponents of corresponding distributions were obtained. The agreement between the simulations and analytical results indicates the validity of the theoretical analysis. Finally, three real transport bus networks (BTNs) of Beijing, Shanghai and Hangzhou in China were studied. By analyzing their network properties, it is discovered that these real BTNs belong to a kind of weighted evolving network model with clique overlapping growth and random selection mechanism that was proposed in this context.