Phase transitions in social networks

Details Phase transitions in social networks Phase transitions in social networks

2007-01-16

arxiv.org/abs/physics/0701182v1

Physics

Physics and Society

8 pages, 8 figures

Scientific paper

10.1140/epjb/e2007-00270-8

We study a model of network with clustering and desired node degree. The original purpose of the model was to describe optimal structures of scientific collaboration in the European Union. The model belongs to the family of exponential random graphs. We show by numerical simulations and analytical considerations how a very simple Hamiltonian can lead to surprisingly complicated and eventful phase diagram.

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