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The Small-World Problem in a Spatial Context

Author

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  • A K M Stoneham

    (Department of Geography, University of Cambridge, Downing Place, Cambridge CB2 3EN, England)

Abstract

The small-world problem poses the question: “How many steps does it take to link any two people, selected at random?†A simulation model is built to examine this question, but focusing on the spatial side of the problem. Four aspects are investigated in detail: the general distribution of steps with parameter changes; channelling effects; the sensitivity of the overall structure to disconnection; and ghettoisation of an area. Some suggestions are made for further possible applications of the model.

Suggested Citation

  • A K M Stoneham, 1977. "The Small-World Problem in a Spatial Context," Environment and Planning A, , vol. 9(2), pages 185-195, February.
  • Handle: RePEc:sae:envira:v:9:y:1977:i:2:p:185-195
    DOI: 10.1068/a090185
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    Cited by:

    1. Malighetti, Paolo & Paleari, Stefano & Redondi, Renato, 2008. "Connectivity of the European airport network: “Self-help hubbing†and business implications," Journal of Air Transport Management, Elsevier, vol. 14(2), pages 53-65.
    2. Zengwang Xu & Daniel Sui, 2007. "Small-world characteristics on transportation networks: a perspective from network autocorrelation," Journal of Geographical Systems, Springer, vol. 9(2), pages 189-205, June.

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