A spatial model for social networks

Physics – Physics and Society

Scientific paper

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To be published in Physica A (2005)

Scientific paper

10.1016/j.physa.2005.04.029

We study spatial embeddings of random graphs in which nodes are randomly distributed in geographical space. We let the edge probability between any two nodes to be dependent on the spatial distance between them and demonstrate that this model captures many generic properties of social networks, including the ``small-world'' properties, skewed degree distribution, and most distinctively the existence of community structures.

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