Models of social networks based on social distance attachment.

@article{Bogu2004ModelsOS,
  title={Models of social networks based on social distance attachment.},
  author={Mari{\'a}n Bogu{\~n}{\'a} and Romualdo Pastor-Satorras and Albert D{\'i}az-Guilera and Alex Arenas},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2004},
  volume={70 5 Pt 2},
  pages={
          056122
        }
}
  • Marián Boguñá, Romualdo Pastor-Satorras, +1 author Alex Arenas
  • Published in
    Physical review. E…
    2004
  • Mathematics, Medicine
  • We propose a class of models of social network formation based on a mathematical abstraction of the concept of social distance. Social distance attachment is represented by the tendency of peers to establish acquaintances via a decreasing function of the relative distance in a representative social space. We derive analytical results (corroborated by extensive numerical simulations), showing that the model reproduces the main statistical characteristics of real social networks: large clustering… CONTINUE READING

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