Hidden symmetries in real and theoretical networks

DOI10.1016/j.physa.2018.09.131OpenAlexW2793448206MaRDI QIDQ2157998

Dallas Smith, Benjamin Z. Webb

Publication date: 22 July 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02328

zbMATH Keywords

graph automorphismisospectral network reductionnetwork symmetry

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (7)

A simple stability criterion for dynamical systems with stochastic switching and/or stochastic time-delays ⋮ Link prediction in networks using effective transitions ⋮ Temporal network modeling with online and hidden vertices based on the birth and death process ⋮ Finding hidden structures, hierarchies, and cores in networks via isospectral reduction ⋮ Cospectrality preserving graph modifications and eigenvector properties via walk equivalence of vertices ⋮ Characterizing cospectral vertices via isospectral reduction ⋮ Hidden Symmetries, Coupled Networks and Equivariant Degrees

Cites Work

• Equitable decompositions of graphs with symmetries
• Complex networks and symmetry. I: A review
• Spectra of graphs
• Uncoupling the Perron eigenvector problem
• Eigenvectors of isospectral graph transformations
• Emergence of Scaling in Random Networks
• Symmetric motifs in random geometric graphs
• SYMMETRY AND SYNCHRONY IN COUPLED CELL NETWORKS 1: FIXED-POINT SPACES
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Collective dynamics of ‘small-world’ networks
• Isospectral Transformations
• Network Analysis
• Networks
• Symmetry in complex networks
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