Stations, trains and small-world networks

Seaton, Katherine A.; Hackett, Lisa

doi:10.1016/j.physa.2004.03.019

Cited by 194 publications

(148 citation statements)

References 14 publications

(41 reference statements)

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“…Sen et al [22] concluded that India's railway network exhibited small world properties. Similar properties were reported by Seaten and Hackett [23] in a study of railway networks in Boston and Vienna. Jiang and Claramunt [24] found that the topological networks of streets exhibited small world properties but were not scale-free.…”

supporting

confidence: 87%

Power law and small world properties in a comparison of traffic city networks

Wang

Jian

et al. 2011

Chin. Sci. Bull.

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We analyze the statistical properties of the urban public bus networks of two cities (Beijing and Chengdu) in China. To this end, we present a comprehensive survey of the degree distribution, average path length, and clustering of both networks. It is shown that both networks exhibit small world behavior and are hierarchically organized. We also discuss the differences between the statistical properties displayed by the two networks. In addition, we propose a weight distribution approach to study the passenger flow through the public bus networks we considered. A hierarchical structure is observed here also. public transport network, complex network, power-law distribution, small-world Citation:Ma K, Wang Z W, Jiang J, et al. Power law and small world properties in a comparison of traffic city networks.

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supporting

confidence: 87%

Power law and small world properties in a comparison of traffic city networks

Wang

Jian

et al. 2011

Chin. Sci. Bull.

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“…Instead, in the resulting topology, the length of a shortest path between two arbitrary stations A and B is the number of changes of mean of transportation one needs to get from A to B [39]. This approach was used in [3,12,13]; in the latter the authors used the term space P. In space-of-stops, two stations are connected if they are two consecutive stops on a route of at least one vehicle [13]. Here the length of a shortest path between two stations is the minimal number of stops one needs to make.…”

Section: Spaces and The Difficulty Of The Problemmentioning

confidence: 99%

Extraction and analysis of traffic and topologies of transportation networks

2006

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The knowledge of real-life traffic pattern is crucial for good understanding and analysis of transportation systems. This data is quite rare. In this paper we propose an algorithm for extracting both the real physical topology and the network of traffic flows from timetables of public mass transportation systems. We apply this algorithm to timetables of three large transportation networks. This enables us to make a systematic comparison between three different approaches to construct a graph representation of a transportation network; the resulting graphs are fundamentally different. We also find that the real-life traffic pattern is very heterogenous, both in space and traffic flow intensities.

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“…Julian Sienkiewicz [7] Topological analysis of 22 urban bus networks in Poland. Seaton and Hackett [8] calculate the complex statistical characteristics of the city train network. Domestic research, including Qian Xu [9] on the city's public transport network degree of the distribution of the situation.…”

Section: City Bus Networkmentioning

confidence: 99%

Complex Network Theory in Urban Traffic Network

Li¹,

Han²

2017

Proceedings of the 2017 2nd International Conference on Materials Science, Machinery and Energy Engineering (MSMEE 2017)

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Abstract:In this paper, the statistical characteristics of complex networks are introduced, and basic four kinds of models of complex networks are analyzed. Based on the theory of complex network, it is carried out about the research on the three networks such as road network, bus network and track network in urban transportation system. The topological characteristics of the networks in urban transportation system are accordingly illustrated. The complex network theory for three kinds of network research is discussed according to the topological characteristics from dynamic analysis with two aspects. Finally, the research difficulties and direction are presented.

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Stations, trains and small-world networks

Cited by 194 publications

References 14 publications

Power law and small world properties in a comparison of traffic city networks

Power law and small world properties in a comparison of traffic city networks

Extraction and analysis of traffic and topologies of transportation networks

Complex Network Theory in Urban Traffic Network

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