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Models of social networks based on social distance attachment
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Abstract
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 coefficient, positive degree correlations, and the emergence of a hierarchy of communities. The model is confronted with the social network formed by people that shares confidential information using the Pretty Good Privacy (PGP) encryption algorithm, the so-called web of trust of PGP.
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BOGUÑÁ, Marián, et al. Models of social networks based on social distance attachment. Physical Review E. 2004. Vol. 70, num. 5, pags. 056122-1-056122-8. ISSN 1063-651X. [consulted: 9 of June of 2026]. Available at: https://hdl.handle.net/2445/18883