Higher-order properties of multi-modal public transit networks

IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Xiaohan Xu , Ailing Huang , Amer Shalaby , Zhihuan Jiang , Mengyuan Duan , Geqi Qi
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Abstract

Over the years, research advances in public transit networks (PTNs) are restricted to pairwise interactions, while providing limited understanding of higher-order PTNs. In particular, exploring the higher-order interactions of multi-modal PTNs (MPTNs) can not only facilitate a more efficient and convenient way to meet the travel demands of passengers, but also improve the carrying capacity and attractiveness of public transit systems. Consequently, this paper characterizes the characteristic metrics of higher-order MPTNs and the node importance identification method considering higher-order cliques. The construction method of MPTNs and the metrics of higher-order network properties are first introduced. Based on investigating the characteristics of higher-order cliques, we then further design a node importance measure to explore the degree of station core of higher-order MPTNs. Finally, taking the Beijing public transit system as an example, three different types of MPTNs (including the bus network, bus-metro network, and bus-metro-taxi/ride-hailing network) are constructed, and their higher-order properties are statistically analyzed. The empirical study finds that the Beijing MPTNs with higher-order interactions have a large number of complex clique and cavity structures, which are typical of scale-free networks. In terms of node rankings, our proposed node importance measure incorporates rich information about the higher-order properties compared to well-known benchmark indices. Correspondingly, the measure performs overall better than other benchmarks in identifying the most vulnerable nodes under intentional attacks. The paper provides a reference for future exploration of the dynamic evolution mechanism of higher-order MPTNs, and can serve the actual network planning and design of urban MPTNs.

Abstract Image

多模式公共交通网络的高阶特性
多年来,有关公共交通网络(PTN)的研究进展仅限于成对的相互作用,而对高阶公共交通网络的了解却十分有限。特别是,探索多模式公共交通网络(MPTN)的高阶交互,不仅能更高效、更便捷地满足乘客的出行需求,还能提高公共交通系统的承载能力和吸引力。因此,本文阐述了高阶 MPTN 的特征指标和考虑高阶簇的节点重要性识别方法。首先介绍了 MPTN 的构建方法和高阶网络特性指标。在研究高阶簇特征的基础上,进一步设计了节点重要性度量方法,以探讨高阶 MPTN 的站点核心度。最后,以北京公共交通系统为例,构建了三种不同类型的 MPTN(包括公交网络、公交-地铁网络、公交-地铁-出租车/出租汽车网络),并对其高阶属性进行了统计分析。实证研究发现,具有高阶交互的北京 MPTN 具有大量复杂的簇结构和空腔结构,是典型的无标度网络。在节点排名方面,与著名的基准指数相比,我们提出的节点重要性度量包含了丰富的高阶属性信息。相应地,在识别蓄意攻击下最脆弱节点方面,该指标的整体表现优于其他基准指标。本文为今后探索高阶 MPTN 的动态演化机制提供了参考,并可服务于城市 MPTN 的实际网络规划和设计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Chinese Journal of Physics
Chinese Journal of Physics 物理-物理:综合
CiteScore
8.50
自引率
10.00%
发文量
361
审稿时长
44 days
期刊介绍: The Chinese Journal of Physics publishes important advances in various branches in physics, including statistical and biophysical physics, condensed matter physics, atomic/molecular physics, optics, particle physics and nuclear physics. The editors welcome manuscripts on: -General Physics: Statistical and Quantum Mechanics, etc.- Gravitation and Astrophysics- Elementary Particles and Fields- Nuclear Physics- Atomic, Molecular, and Optical Physics- Quantum Information and Quantum Computation- Fluid Dynamics, Nonlinear Dynamics, Chaos, and Complex Networks- Plasma and Beam Physics- Condensed Matter: Structure, etc.- Condensed Matter: Electronic Properties, etc.- Polymer, Soft Matter, Biological, and Interdisciplinary Physics. CJP publishes regular research papers, feature articles and review papers.
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