上海市地铁网络拓扑结构性质分析

Analysis of the topological structure of Shanghai metro network

本文基于复杂网络理论,将上海市现运行的16条地铁线路在Space-L方法下建立模型,通过Ucinet软件初步绘制了地铁网络的拓扑结构图.根据站点邻接矩阵,运用Matlab计算得出:绝大多数站点的度值为2,站点的度分布基本与泊松分布相似;超过97%的站点聚类系数为0,所有站点的平均聚类系数极小,平均路径长度值为15.12,不具有小世界网络的特性;在双对数坐标下的站点累计度分布基本符合幂率分布,具有无标度网络的特性.

Based on the complex network theory,this paper establishes the model of 16 metro lines in Shanghai under the Space-L method,draws the preliminary topological structure diagram of the metro network through Ucinet,and calculates by using Matlab according to the adjacency matrix of stations:the degree distribution of most stations is 2,the degree distribution of stations is basically similar to that of Poisson distribution;the clustering coefficients of more than 97%stations are 0,and the result shows that the degree distribution of most stations is similar to that of Poisson distribution.The average clustering coefficient of stations is very small,and the average path length is 15.12,which does not have the characteristics of small world network.The cumulative degree distribution of stations in double logarithmic coordinates basically conforms to the power distribution and has the characteristics of scale-free network.