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The Emergence of Small-World Phenomenon in Urban Transportation Networks: An Exploratory Analysis

In: Spatial Economic Science

Author

Listed:
  • Laurie A. Schintler

    (George Mason University)

  • Rajendra Kulkarni

    (George Mason University)

Abstract

‘Small-world networks’ is a new concept that is receiving a lot of attention. Introduced by Watts andStrogatz (1998), a ‘small-world network’ is based on ‘six degrees of separation’, or the notion that everyone in the world is related to everyone else through at most six acquaintances. ‘Six degrees of separation’ arises from the existence of cliques and a few popular individuals who provide connections between these cliques. Small-world networks are similar in that they have a high degree of local clustering or cliqueness, like a regular lattice and a relatively short average minimum path, like a completely random network. Unlike the idea of six degrees of separation though, they do not assume random connectivity. Instead, they lie somewhere in between a regular lattice and a random network. Watts and Strogatz (1998) assert that this phenomenon is probably universal, applying to many natural and manmade networks. The United States power grid, the neural network of a particular type of worm, and the social network of acting coworkers are three networks for which this is demonstrated.

Suggested Citation

  • Laurie A. Schintler & Rajendra Kulkarni, 2000. "The Emergence of Small-World Phenomenon in Urban Transportation Networks: An Exploratory Analysis," Advances in Spatial Science, in: Aura Reggiani (ed.), Spatial Economic Science, chapter 20, pages 419-434, Springer.
    • Handle: RePEc:spr:adspcp:978-3-642-59787-9_20
    DOI: 10.1007/978-3-642-59787-9_20
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    Citations

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    Cited by:

    1. Laurie A. Schintler & Aura Reggiani & Rajendra Kulkarni & Peter Nijkamp, 2003. "Scale-Free Phenomena in Communication Networks: A Cross-Atlantic Comparison," ERSA conference papers ersa03p436, European Regional Science Association.
    2. Aura Reggiani & Thomas de Graaff & Peter Nijkamp, 2001. "Resilience: An Evolutionary Approach to Spatial Economic Systems," Tinbergen Institute Discussion Papers 01-100/3, Tinbergen Institute.
    3. Patuelli, Roberto & Reggiani, Aura & Nijkamp, Peter & Bade, Franz-Josef, 2010. "The evolution of the commuting network in Germany: Spatial and connectivity patterns," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 2(3), pages 5-37.
    4. Roberto Patuelli & Aura Reggiani & Sean Gorman & Peter Nijkamp & Franz-Josef Bade, 2007. "Network Analysis of Commuting Flows: A Comparative Static Approach to German Data," Networks and Spatial Economics, Springer, vol. 7(4), pages 315-331, December.

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