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arXiv · 0705.3215

On Automorphism Groups of Networks

Ben D. MacArthur·Rubén J. Sánchez-García·James W. Anderson
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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.

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Ben D. MacArthur, Rubén J. Sánchez-García, James W. Anderson. 2007-09-21. On Automorphism Groups of Networks. https://doi.org/10.1016/j.dam.2008.04.008

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