高铁复杂网络拓扑特征及节点中心性研究

Study on topological characteristics and node centrality of high-speed railway complex network

以我国主要代表性城市为研究对象,分析高速铁路网络特性与拓扑特征,识别高铁网络中的节点城市及其功能作用。运用Space-P方法构建高铁网络模型,利用复杂网络理论及Pajek分析软件,从度值、平均路径长度、聚集系数及节点城市中心性等方面研究我国高铁网络的拓扑结构及节点中心性,结果表明:我国高铁网络整体聚集性较高、连通性较强,东中部及沿海城市表现出高聚集性,西部城市高铁网络连通性低,聚集性较弱;高铁网络具有小世界特征,任意两节点之间通过较少的中转次数即可连通,少数城市间需中转三次才能连通;在高铁网络中,度值较大的城市主要集中在我国东中部及沿海地区,西部及东北地区城市度值较小且度中心性较大,其接近中心性也较大;而度值较小且介数中心性较大的城市具有较强的中转能力。

Taking the main representative cities in China as the research object,this study analyzed the characteristics and topological characteristics of high-speed railway network,and identifies node cities and their functions in high-speed railway network.The Space-P method was used to build a high-speed network model,and the complex network theory and Pajek analysis software were used to analyze the topological structure and node centrality of of China′s high-speed rail network from the aspects of degree values,average path length,aggregation coefficient and node city centrality.The results showed that China′s high-speed rail network highly aggregated and connected as a whole,the eastern,central and coastal cities showed high aggregation,while the western cities had low high-speed rail network connectivity and weak aggregation.High-speed rail network had the characteristics of a small world,any two nodes could be connected by a small number of transit times,and a few cities need three transit times to be connected.In the high-speed rail network,the cities with large degree values were mainly concentrated in the east,central and coastal regions of China,while the cities in the west and northeast regions had less degree values and large degree centrality,and their proximity centrality was also large.Cities with smaller degree value and greater intermediate centrality had stronger transit ability.