Title: Research on travel network structure based on normalised Laplacian spectrum

Authors: Yang Sun; Hanhan Deng; Ling Zhao; Sumin Li; Zhenshi Zhang; Ronghua Du; Zhixiang Hou

Addresses: 72465 Unit of the People's Liberation Army, Jinan 250022, China ' School of Geosciences and Info-Physics, Central South University, Changsha 410083, China ' School of Geosciences and Info-Physics, Central South University, Changsha 410083, China ' School of Architecture, Changsha University of Science and Technology, Changsha 610059, China ' College of Basic Education, National University of Defense Technology, 410073, Changsha, China ' School of Vehicle and Mechanical Engineering, Changsha University of Science and Technology, Changsha 610059, China ' School of Vehicle and Mechanical Engineering, Changsha University of Science and Technology, Changsha 610059, China

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.

Keywords: travel network structure; normalised Laplacian spectrum; resident travel chain; global topology.

DOI: 10.1504/IJCSM.2020.111705

International Journal of Computing Science and Mathematics, 2020 Vol.12 No.3, pp.250 - 261

Received: 09 Aug 2018
Accepted: 25 Sep 2018

Published online: 11 Dec 2020 *

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