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On Automorphism Groups of Networks

Ben D. MacArthur, Rubén J. Sánchez-García and James W. Anderson
Arxiv ID: 0705.3215Last updated: 8/5/2020
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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