Phase transitions in social networks

2007/01/16 by Piotr Fronczak, P. Fronczak, Agata Fronczak +3 · 29 citations
Physics and Astronomy · #Cluster analysis #Complex Network Analysis Techniques #Exponential function #Exponential random graph models #Hamiltonian (control theory) #Node (physics) #Opinion Dynamics and Social Influence #Phase (matter) #Phase transition #Simple (philosophy) #Theoretical and Computational Physics #physics.soc-ph

paper · pdf · doi:10.1140/epjb/e2007-00270-8

published in The European Physical Journal B 59(1), 133-139 (Springer Science+Business Media) · 8 pages, 8 figures

arxiv created 2007/01/16 · openalex publication_date 2007/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Emergence of scaling in random networks
• Perturbing general uncorrelated networks
• Statistical mechanics of complex networks
• Evolution of networks
• Random graphs with arbitrary degree distributions and their applications
• On power-law relationships of the Internet topology