Emergent structures in large networks.

• Autores: David Aristoff, Charles Radin
• Localización: Journal of Applied Probability, ISSN-e 0021-9002, Vol. 50, Nº. 3, 2013, págs. 883-888
• Idioma: inglés
• DOI: 10.1017/s0021900200009918
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• Resumen

  • 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.