Author:
Aristoff David,Radin Charles
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.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
6 articles.
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1. Multipodal Structure and Phase Transitions in Large Constrained Graphs;Journal of Statistical Physics;2017-05-06
2. Exponential Random Graph Models;Lecture Notes in Mathematics;2017
3. Introduction;Lecture Notes in Mathematics;2017
4. Bipodal Structure in Oversaturated Random Graphs;International Mathematics Research Notices;2016-12-26
5. On the Lower Tail Variational Problem for Random Graphs;Combinatorics, Probability and Computing;2016-08-16