Small-world properties of the Indian railway network.

By P. Sen, S. Dasgupta, Arnab Chatterjee, P. Sreeram, G. Mukherjee, S. S. Manna. Physical review. E, Statistical, nonlinear, and soft matter physics, 2002

555 citations recorded by the source corpus.

Structural properties of the Indian railway network is studied in the light of recent investigations of the scaling properties of different complex networks. Stations are considered as "nodes" and an arbitrary pair of stations is said to be connected by a "link" when at least one train stops at both stations. Rigorous analysis of the existing data shows that the Indian railway network displays small-world properties. We define and estimate several other quantities associated with this network.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/13db02ed7038252a7fa5246fb6aa9c61a6f8aeeb

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Citations in the corpus

Spatial Networks (2010, background): “One of the first studies of the structure of railway network [283] concerns a subset of the most important stations and lines of the Indian railway network and has N = 587 stations.”
Analysis of the airport network of India as a complex weighted network (2004, background): “During the past few years, complex network analysis has been used to study transportation systems (railways [17] and airlines [2,9,10,4,8,21]), which are man-made infrastructures – from different aspects – apart from many other”
Human mobility: Models and applications (2017, background): “Examples include metro networks in Beijing [191], Boston [192], London [193, 194], Montreal [195], Paris [193] and Seoul [196]; bus networks in China [197, 198] and Poland [199]; train networks in Boston, Vienna [200] and in India [201]; and combined public transportation networks in 14 cities aroun”
The Structure and Function of Complex Networks (2003, methodology): “[365], are also bipartite, and bipartite graphs have been used as the basis for models of sexual contact networks [144, 314].”
Analyzing and modeling real-world phenomena with complex networks: a survey of applications (2007, background): “Therefore, we shall not discuss networks such as the railways [268, 269, 270], subway networks [271], and public transportation [272, 273, 274].”
Layered complex networks. (2005, methodology): “The graphs based on the physical infrastructure of such networks were analyzed on the examples of a power grid [5, 6], railway network [7], road networks [8, 9], or urban mass transportation systems [10, 11, 12, 13].”
The complex network of global cargo ship movements (2010, background): “2006; Barthélemy & Flammini 2008) and train networks (Latora & Marchiori 2002; Sen et al. 2003).”
Analysis of Public Bus Transportation of a Brazilian City Based on the Theory of Complex Networks Using the P-Space (2016, methodology): “Indian railway network was also studied [6] and indicated that it had small-world properties, like small average distances, and exponential degree distribution.”
Stations, trains and small-world networks (2003, background): “However, this bipartite structure was not referred to in the analysis provided in [10], unlike the somewhat more whimsical study of the (arti:cial) Marvel comic book universe [6], our third motivation.”
The spatial structure of networks (2004, background): “Empirical studies of networks, even networks in which geography plays a pivotal role, have, with some exceptions [6, 18, 19, 20], similarly focused almost exclusively on topology [4, 21, 22].”
Network resilience (2020, background): “railway networks [588], the worldwide maritime transportation network [589], and power grid [590].”