Abstract
We consider a large class of exponential random graph models and prove the existence of a region of parameter space corresponding to the emergent multipartite structure, separated by a phase transition from a region of disordered graphs. An essential feature is the formalism of graph limits as developed by Lovász et al. for dense random graphs.
Citation
David Aristoff. Charles Radin. "Emergent structures in large networks." J. Appl. Probab. 50 (3) 883 - 888, September 2013. https://doi.org/10.1239/jap/1378401243
Information