On Automorphism Groups of Networks

Details On Automorphism Groups of Networks On Automorphism Groups of Networks

2007-05-22

arxiv.org/abs/0705.3215v2

Discrete Appl. Math. 156 (2008), no. 18, 3525-3531.

Physics

Physics and Society

10 pages, 2 figures, major changes, abridged version

Scientific paper

10.1016/j.dam.2008.04.008

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.

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