Power laws and the AS-level internet topology
IEEE/ACM Transactions on Networking (TON)
Exploratory Social Network Analysis with Pajek
Exploratory Social Network Analysis with Pajek
Automorphism groups of Cayley graphs on symmetric groups with generating transposition sets
Journal of Combinatorial Theory Series B
The political blogosphere and the 2004 U.S. election: divided they blog
Proceedings of the 3rd international workshop on Link discovery
Efficiently indexing shortest paths by exploiting symmetry in graphs
Proceedings of the 12th International Conference on Extending Database Technology: Advances in Database Technology
k-symmetry model for identity anonymization in social networks
Proceedings of the 13th International Conference on Extending Database Technology
Mining graphs with constraints on symmetry and diameter
WAIM'10 Proceedings of the 2010 international conference on Web-age information management
An introduction to spectral distances in networks
Proceedings of the 2011 conference on Neural Nets WIRN10: Proceedings of the 20th Italian Workshop on Neural Nets
Axiomatic ranking of network role similarity
Proceedings of the 17th ACM SIGKDD international conference on Knowledge discovery and data mining
Symmetry Compression Method for Discovering Network Motifs
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Approximate axial symmetries from continuous time quantum walks
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
Scalable and axiomatic ranking of network role similarity
ACM Transactions on Knowledge Discovery from Data (TKDD) - Casin special issue
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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.