Symmetry in complex networks

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 construct a practical network automorphism group decomposition, relat...

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Bibliographic Details
Main Authors: MacArthur, Ben D. (Author), Sanchez-Garcia, Ruben J. (Author), Anderson, James W. (Author)
Format: Article
Language:English
Published: 2008-11-28.
Subjects:
Online Access:Get fulltext
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100 1 0 |a MacArthur, Ben D.  |e author 
700 1 0 |a Sanchez-Garcia, Ruben J.  |e author 
700 1 0 |a Anderson, James W.  |e author 
245 0 0 |a Symmetry in complex networks 
260 |c 2008-11-28. 
856 |z Get fulltext  |u https://eprints.soton.ac.uk/54120/1/symmetry.pdf 
520 |a 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 construct a practical network automorphism group decomposition, relate automorphism group structure to network topology and discuss generic forms of symmetry and their origin in real-world networks. We also comment on how symmetry can affect network redundancy and robustness. 
655 7 |a Article