In this paper, we study certain geometric and topological properties of online social networks using the concept of density and geometric vector spaces. "Moi Krug" ("My Circle"), a Russian social network that promotes the principle of the "six degrees of separation" and is positioning itself as a vehicle for professionals and recruiters seeking each others' services, is used as a test vehicle.
@article{arxiv.0807.3996,
title = {Topology and Geometry of Online Social Networks},
author = {D. Zinoviev},
journal= {arXiv preprint arXiv:0807.3996},
year = {2008}
}