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A spatial model for social networks

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Physica A: Statistical Mechanics and its Applications, 360 (1): 99--120 (января 2006)
DOI: 10.1016/j.physa.2005.04.029

Аннотация

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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