On Automorphism Groups of Networks
Physics and Society
2020-08-05 v2 Combinatorics
Abstract
We consider the size and structure of the automorphism groups of a variety of empirical `real-world' networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric. We relate automorphism group structure to network topology and discuss generic forms of symmetry and their origin in real-world networks.
Cite
@article{arxiv.0705.3215,
title = {On Automorphism Groups of Networks},
author = {Ben D. MacArthur and Rubén J. Sánchez-García and James W. Anderson},
journal= {arXiv preprint arXiv:0705.3215},
year = {2020}
}