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

Matúš Medo

Physica A: Statistical Mechanics and its Applications, 2006, vol. 360, issue 2, 617-628

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.

Keywords: Small-world phenomenon; Random networks; Spatial graphs; Convolution (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:360:y:2006:i:2:p:617-628

DOI: 10.1016/j.physa.2005.06.038

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