I propose the development of the social network growth model based on mediated binding. For this model I present the results of computer simulation and give a quasi-linear medium-field solution. The model shows phases of a dense and sparse network, and the former conditions the small-world properties.

small worlds, social networks, scale invariance, power law distribution, competitive growth, preferential accession, mediated binding

Mathematical modelling in actual problems of science and technics

Podlazov Andrey Viktorovich,  ,  orcid.org/0000-0002-0328-3814,  KIAM RAS