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.
通过网络机器人搜集了杭州公交网络的真实数据,分别用space L、space P和space R 3种方法对其进行建模.随后分析其基本网络统计特性,包括平均最短路径、平均聚类系数和度分布,并且分析了其两个特殊网络统计特性:社团特性和传播特性.通过对公交网络特性的详细分析得到,公交网络是一个具有指数型度分布、明显社团结构和较强传播能力的小世界网络.
