Research on travel network structure based on normalised Laplacian spectrum

Abstract

To study the residents' trip-activity chain and patterns, we start from the residents' trip-activity network. The normalised Laplacian spectrum from the local metric features described the topological structure information of network with the statistical analysis method of complex network. The statistical analysis of complex networks failed to show the global information of the network and described the network structure more completely, intuitively and conveniently. The normalised Laplacian spectrum is used to portray the subway network, the airline network and the macro-laws of the network from residents travel. In this paper, we analysis other networks and classify networks qualitatively. The results proved that the normalised Laplacian spectra are an efficient tool for analysing macro-structural or micro-structural features of geographic networks.