Abstract
We propose a model of mobile agents to construct social networks, based
on a system of moving particles by keeping track of the collisions
during their permanence in the system. We reproduce not only the degree
distribution, clustering coefficient, and shortest path length of a
large database of empirical friendship networks recently collected, but
also some features related with their community structure. The model is
completely characterized by the collision rate, and above a critical
collision rate we find the emergence of a giant cluster in the
universality class of two-dimensional percolation. Moreover, we propose
possible schemes to reproduce other networks of particular social
contacts, namely, sexual contacts.
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