Article,

Emergence of a Small World from Local Interactions: Modeling Acquaintance Networks

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Phys Rev Lett, 88 (12): 128701 (2002)

Abstract

How does one make acquaintances? A simple observation from everyday experience is that often one of our acquaintances introduces us to one of his acquaintances. Such a simple triangle interaction may be viewed as the basis of the evolution of many social networks. Here, it is demonstrated that this assumption is sufficient to reproduce major non-trivial features of social networks: Short path length, high clustering, and scale-free or exponential link distributions.

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