Emergent structures in large networks
Probability
2015-08-31 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We consider a large class of exponential random graph models and prove the existence of a region of parameter space corresponding to multipartite structure, separated by a phase transition from a region of disordered graphs.
Cite
@article{arxiv.1110.1912,
title = {Emergent structures in large networks},
author = {David Aristoff and Charles Radin},
journal= {arXiv preprint arXiv:1110.1912},
year = {2015}
}
Comments
future versions will be available from: http://www.ma.utexas.edu/users/radin/papers.html