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Distance-dependent connectivity: Yet another approach to the small-world phenomenon

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  • Medo, Matúš

Abstract

We investigate a relationship network of humans located in a metric space where relationships are drawn according to a distance-dependent probability density. The obtained spatial graph allows us to calculate the average separation of people in a very simple manner. The acquired results agree with the well-known presence of the small-world phenomenon in human relationships. They indicate that this feature can be understood merely as a consequence of the probability composition. We also examine how this phenomenon evolves with the development of human society.

Suggested Citation

  • Medo, Matúš, 2006. "Distance-dependent connectivity: Yet another approach to the small-world phenomenon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 617-628.
    • Handle: RePEc:eee:phsmap:v:360:y:2006:i:2:p:617-628
    DOI: 10.1016/j.physa.2005.06.038
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    Cited by:

    1. Liu, Ji & Deng, Guishi, 2009. "Link prediction in a user–object network based on time-weighted resource allocation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3643-3650.

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