Emergence of clustering, correlations, and communities in a social network model

Marian Boguna; Romualdo Pastor-Satorras; Albert Diaz-Guilera; Alex Arenas

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arXiv · cond-mat/0309263

Emergence of clustering, correlations, and communities in a social network model

Marian Boguna·Romualdo Pastor-Satorras·Albert Diaz-Guilera·Alex Arenas

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Abstract

We propose a simple model of social network formation that parameterizes the tendency to establish acquaintances by the relative distance in a representative social space. By means of analytical calculations and numerical simulations, we show that the model reproduces the main characteristics of real social networks: non- vanishing clustering coefficient, assortative degree correlations, and the emergence of a hierarchy of communities. Our results highlight the importance of communities in the understanding of the structure of social networks.

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Marian Boguna, Romualdo Pastor-Satorras, Albert Diaz-Guilera, Alex Arenas. 2003-10-13. Emergence of clustering, correlations, and communities in a social network model. https://arxiv.org/abs/cond-mat/0309263

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