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Symmetry in complex networks

https://doi.org/10.1016/j.dam.2008.04.008
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Modern Graph Theory
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An Introduction to the Theory of Groups
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Symmetry in interconnection networks based on Cayley graphs of permutation groups: A survey
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Automorphism groups of Cayley graphs on symmetric groups with generating transposition sets
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Some analyses of Erdos collaboration graph
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Exploratory Social Network Analysis with Pajek
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Algebraic Graph Theory
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Exploratory Social Network Analysis with Pajek
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Topics in Graph Automorphisms and Reconstruction
inferredcites →https://doi.org/10.1017/s0305004100055857openalex-snapshot
The probability that a point of a tree is fixed
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Collective dynamics of ‘small-world’ networks
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Error and attack tolerance of complex networks
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The large-scale organization of metabolic networks
inferredcites →https://doi.org/10.1038/35065725openalex-snapshot
Exploring complex networks
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Lethality and centrality in protein networks
inferredcites →https://doi.org/10.1038/427601aopenalex-snapshot
Networking opportunity
inferredcites →https://doi.org/10.1038/ng1532openalex-snapshot
Reverse engineering of regulatory networks in human B cells
inferredcites →https://doi.org/10.1073/pnas.96.6.3257openalex-snapshot
Measures of degeneracy and redundancy in biological networks
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Duplication Models for Biological Networks
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Nonlinear dynamics of networks: the groupoid formalism
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BioGRID: a general repository for interaction datasets
inferredcites →https://doi.org/10.1103/physreve.64.016131openalex-snapshot
Scientific collaboration networks. I. Network construction and fundamental results
inferredcites →https://doi.org/10.1103/physreve.64.016132openalex-snapshot
Scientific collaboration networks. II. Shortest paths, weighted networks, and centrality
inferredcites →https://doi.org/10.1103/physreve.68.065103openalex-snapshot
Self-similar community structure in a network of human interactions
inferredcites →https://doi.org/10.1103/physreve.70.056122openalex-snapshot
Models of social networks based on social distance attachment
inferredcites →https://doi.org/10.1103/physreve.72.027104openalex-snapshot
Community detection in complex networks using extremal optimization
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Detecting degree symmetries in networks
inferredcites →https://doi.org/10.1103/revmodphys.74.47openalex-snapshot
Statistical mechanics of complex networks
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Power laws and the AS-level internet topology
inferredcites →https://doi.org/10.1112/s0024609300217359openalex-snapshot
PERMUTATION GROUPS (London Mathematical Society Student Texts 45)
inferredcites →https://doi.org/10.1126/science.1123287openalex-snapshot
Genome-Wide Prediction of C. elegans Genetic Interactions
inferredcites →https://doi.org/10.1126/science.286.5439.509openalex-snapshot
Emergence of Scaling in Random Networks
inferredcites →https://doi.org/10.1126/science.298.5594.824openalex-snapshot
Network Motifs: Simple Building Blocks of Complex Networks
inferredcites →https://doi.org/10.1137/s003614450342480openalex-snapshot
The Structure and Function of Complex Networks
inferredcites →https://doi.org/10.1137/s1111111103419896openalex-snapshot
Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
inferredcites →https://doi.org/10.1145/1134271.1134277openalex-snapshot
The political blogosphere and the 2004 U.S. election
inferredcites →https://doi.org/10.5860/choice.41-2860openalex-snapshot
Topics in graph automorphisms and reconstruction

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Minimal Specialization: Coevolution of Network Structure and Dynamics
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What Cancer Is
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Controllability criteria for nonlinear fractional dynamical networks in Banach spaces
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The Key Class in Networks
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Concentric network symmetry
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Relationships between symmetry-based graph measures
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The impact of graph symmetry on the number of driver nodes in complex networks
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New binary-addition tree algorithm for the all-multiterminal binary-state network reliability problem
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Synchrony in networks of coupled non-smooth dynamical systems: Extending the master stability function
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Cluster synchronization and isolated desynchronization in complex networks with symmetries
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Symmetries and cluster synchronization in multilayer networks
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The transition to synchronization of networked systems
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Network experiment demonstrates converse symmetry breaking
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Irregular metamaterial networks
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Limits on Anti-Phase Synchronization in Oscillator Networks
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Equitability and explosive synchronisation in multiplex and higher-order networks
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Dynamics of Amyloid Beta Protein Signaling under Complexity Reduction: A Mathematical Modeling and BooleSim Simulation Approach
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Network-complement transitions, symmetries, and cluster synchronization
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Generating symmetric graphs
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Symmetries in the time-averaged dynamics of networks: Reducing unnecessary complexity through minimal network models
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Koopman operator and its approximations for systems with symmetries
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Transitional cluster dynamics in a model for delay-coupled chemical oscillators
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Controlling consensus in networks with symmetries
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Spectral theory of weighted hypergraphs via tensors
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Scale-free tree graphs are more symmetrical
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Engineering mesoscale structures with distinct dynamical implications
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Mesoscopic structures and the Laplacian spectra of random geometric graphs
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Symmetric motifs in random geometric graphs
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Specialization Models of Network Growth
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Spectral characteristics of network redundancy
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Dimensionality reduction and spectral properties of multilayer networks
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Partial synchronization and partial amplitude death in mesoscale network motifs
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Controlling synchronous patterns in complex networks
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Clusters in nonsmooth oscillator networks
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Concurrent formation of nearly synchronous clusters in each intertwined cluster set with parameter mismatches
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Symmetric States Requiring System Asymmetry
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Stable Chimeras and Independently Synchronizable Clusters
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The Orbit-Polynomial: A Novel Measure of Symmetry in Networks
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Graph-Theoretic Analysis of Power Systems
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Cluster Synchronization of Coupled Semiconductor Lasers Network With Complex Topology
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Independently Synchronizable Groups in Networks of Delay-Coupled Semiconductor Lasers
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Symmetry Compression Method for Discovering Network Motifs
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Strongly Uncontrollable Network Topologies
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Discriminating Power of Centrality Measures in Complex Networks
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Compression of Graphical Structures: Fundamental Limits, Algorithms, and Experiments
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The Effect of Symmetry on the De-Anonymizability of Social Networks
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SCHENO: Measuring Schema vs. Noise in Graphs
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Generating Graphs with Symmetry
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Local Symmetry in Random Graphs
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A Graph Automorphic Approach for Placement and Sizing of Charging Stations in EV Network Considering Traffic
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Complete characterization of the stability of cluster synchronization in complex dynamical networks
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Emergence of Balance from a Model of Social Dynamics
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Fast Eigenvalue Finders for Data with Graph Symmetries
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Coarse graining the dynamics of delayed phase oscillators on Cayley trees by star networks
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Efficiently indexing shortest paths by exploiting symmetry in graphs
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k-symmetry model for identity anonymization in social networks
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Axiomatic ranking of network role similarity
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Scalable and axiomatic ranking of network role similarity
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De-anonymizability of social network
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A Survey on Subgraph Counting
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Cosine similarity for multiplex network summarization
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Antagonistic Phenomena in Network Dynamics
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A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications
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Dimensão e simetria em redes complexas: uma abordagem multiescala
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Wheels Within Wheels: Theory and Practice of Epileptic Networks
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Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience
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Stability of Procurement Networks
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Isochronous cluster synchronization in delay-coupled VCSEL networks subjected to variable-polarization optical injection with time delay signature suppression
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Common-injection-induced isolated desynchronization in delay-coupled VCSELs networks with variable-polarization optical feedback
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Persistence partitions of real and synthetic networks
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Network Compression as a Quality Measure for Protein Interaction Networks
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A Computational Strategy to Select Optimized Protein Targets for Drug Development toward the Control of Cancer Diseases
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Symmetry and symmetry breaking in cancer: a foundational approach to the cancer problem
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Synchronization in Quotient Network Based on Symmetry
inferred← citeshttps://doi.org/10.2478/amns.2019.1.00021openalex-snapshot
Finding Hidden Structures, Hierarchies, and Cores in Networks via Isospectral Reduction
inferred← citeshttps://doi.org/10.3233/978-1-60750-692-8-227openalex-snapshot
An introduction to spectral distances in networks
inferred← citeshttps://doi.org/10.3390/axioms6020012openalex-snapshot
Toward Measuring Network Aesthetics Based on Symmetry
inferred← citeshttps://doi.org/10.3390/books978-3-03943-902-7openalex-snapshot
Symmetry in Renewable Energy and Power Systems
inferred← citeshttps://doi.org/10.3390/fractalfract8010043openalex-snapshot
Controllability of Fractional Complex Networks
inferred← citeshttps://doi.org/10.3390/math11132876openalex-snapshot
A Study of Roots of a Certain Class of Counting Polynomials
inferred← citeshttps://doi.org/10.3390/sym10010029openalex-snapshot
How Symmetric Are Real-World Graphs? A Large-Scale Study
inferred← citeshttps://doi.org/10.3390/sym10100504openalex-snapshot
Invariant Graph Partition Comparison Measures
inferred← citeshttps://doi.org/10.3390/sym11050692openalex-snapshot
Characterization of Symmetry of Complex Networks
inferred← citeshttps://doi.org/10.3390/sym11121472openalex-snapshot
Evolutionary Algorithms for Community Detection in Continental-Scale High-Voltage Transmission Grids
inferred← citeshttps://doi.org/10.3390/sym12010002openalex-snapshot
A Structured Table of Graphs with Symmetries and Other Special Properties
inferred← citeshttps://doi.org/10.3390/sym12091500openalex-snapshot
A Novel Information Theoretical Criterion for Climate Network Construction
inferred← citeshttps://doi.org/10.3390/sym13040710openalex-snapshot
Orbit Polynomial of Graphs versus Polynomial with Integer Coefficients
inferred← citeshttps://doi.org/10.3390/sym13050801openalex-snapshot
Network Analyzing by the Aid of Orbit Polynomial
inferred← citeshttps://doi.org/10.3390/sym13060972openalex-snapshot
On the Roots of the Modified Orbit Polynomial of a Graph
inferred← citeshttps://doi.org/10.3390/sym13071214openalex-snapshot
The Use of a Game Theory Model to Explore the Emergence of Core/Periphery Structure in Networks and Its Symmetry
inferred← citeshttps://doi.org/10.3390/sym15020284openalex-snapshot
Enumerating Subtrees of Flower and Sunflower Networks
inferred← citeshttps://doi.org/10.3390/sym17030357openalex-snapshot
Improving Infrastructure Cluster Design by Using Symmetry
inferred← citeshttps://doi.org/10.3390/sym2031683openalex-snapshot
Complex Networks and Symmetry I: A Review
inferred← citeshttps://doi.org/10.3390/sym2031710openalex-snapshot
Complex Networks and Symmetry II: Reciprocity and Evolution of World Trade
inferred← citeshttps://doi.org/10.3390/sym3040767openalex-snapshot
Information Theory of Networks
inferred← citeshttps://doi.org/10.33915/etd.6678openalex-snapshot
Synchronization of Coupled and Periodically Forced Chemical Oscillators
inferred← citeshttps://doi.org/10.3934/mbe.2015.12.1289openalex-snapshot
Algebraic and topological indices of molecular pathway networks in human cancers
inferred← citeshttps://doi.org/10.4172/jcsb.1000001openalex-snapshot
Symmetry of Metabolic Network
inferred← citeshttps://doi.org/10.48550/arxiv.1005.0103openalex-snapshot
An introduction to spectral distances in networks (extended version)
inferred← citeshttps://doi.org/10.48550/arxiv.1308.5261openalex-snapshot
Observability of Nonlinear Complex Networks in the Presence of Symmetries: A Graphical Approach
inferred← citeshttps://doi.org/10.48550/arxiv.1309.6605openalex-snapshot
Symmetries, Cluster Synchronization, and Isolated Desynchronization in Complex Networks
inferred← citeshttps://doi.org/10.48550/arxiv.1407.6027openalex-snapshot
Modeling languages from graph networks
inferred← citeshttps://doi.org/10.48550/arxiv.1510.04366openalex-snapshot
Equitable Decompositions of Graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1608.06247openalex-snapshot
Mechanisms for Network Growth that Preserve Spectral and Local Structure
inferred← citeshttps://doi.org/10.48550/arxiv.1809.07186openalex-snapshot
General Equitable Decompositions for Graphs with Symmetries
inferred← citeshttps://doi.org/10.48550/arxiv.1908.07314openalex-snapshot
Effective Bounds on Network-Size for Anti-phase Synchronization
inferred← citeshttps://doi.org/10.48550/arxiv.1911.06511openalex-snapshot
Graph Iso/Auto-morphism: A Divide-&-Conquer Approach
inferred← citeshttps://doi.org/10.48550/arxiv.2012.05129openalex-snapshot
Approximate Network Symmetry
inferred← citeshttps://doi.org/10.48550/arxiv.2108.02597openalex-snapshot
A rigorous and efficient approach to finding and quantifying symmetries in complex networks
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.