Which characteristics do indexes represent in urban hub super-network: a case study in Beijing

Recently, the demand for urban transportation is increasing, and the construction of transport hubs is also ongoing. In view of the large, complex and uneven distribution of urban hubs in city, how to represent the multi-layer and multi-attributes of urban hubs is quite essential for the improvement of the coordination among hubs and operation efficiency. In term of the topological characteristics of hub network, this paper adopts Super Network (SN) theory. In traditional complex network research, the performance characteristics of nodes in network were ignored, which treated the nodes as undifferentiated single nodes. In this paper, the Urban Hub Super Network (UHSN) model is constructed and the characteristic of UHSN is also studied based on new element of Super-edge (SE). Besides, the topological indexes of Hub Degree of SE (HDSE), Zero Hub Degree of SE (ZHDSE), and the number of sub-nodes in subway sub-network to SE (NSSE) are presented, and based on which the heterogeneity, functionality and robustness are discussed. Based on the case study of Beijing, it found that ZHDSE is an important index and can well represent functionality. In addition, HDSE and NSSE can well express heterogeneity and robustness respectively after ZHDSE is considered.