Models of social networks based on social distance attachment
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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.
CitationBoguña, M., Pastor-Satorras, R., Díaz-Guilera, A., Arenas, A. Models of social networks based on social distance attachment. "Physical review E, statistical physics, plasmas, fluids, and related interdisciplinary topics", Novembre 2004, vol. 70, p. 056122-1-056122-8.