Modularity and community structure in networks

Abstract

Many networks of interest in the sciences, including a variety of social and biological networks, are found to divide naturally into communities or modules. The problem of detecting and characterizing this community structure has attracted considerable recent attention. One of the most sensitive detection methods is optimization of the quality function known as "modularity" over the possible divisions of a network, but direct application of this method using, for instance, simulated annealing is computationally costly. Here we show that the modularity can be reformulated in terms of the eigenvectors of a new characteristic matrix for the network, which we call the modularity matrix, and that this reformulation leads to a spectral algorithm for community detection that returns results of better quality than competing methods in noticeably shorter running times. We demonstrate the algorithm with applications to several network data sets.

7 pages, 3 figures

References in corpus (19)

• Emergence of scaling in random networks
• Statistical mechanics of complex networks
• The structure and function of complex networks
• Community structure in social and biological networks
• Finding and evaluating community structure in networks
• Finding community structure in very large networks
• Fast algorithm for detecting community structure in networks
• Cooperative Game Theory Approaches for Network Partitioning
• The structure of scientific collaboration networks
• The large-scale organization of metabolic networks
• Functional cartography of complex metabolic networks
• Evolution of networks
• Comparing community structure identification
• Defining and identifying communities in networks
• Community detection in complex networks using Extremal Optimization
• Self-similar community structure in organisations
• Community Structure in Jazz
• Scale-free topology of e-mail networks
• Subnetwork hierarchies of biochemical pathways

Cited by in corpus (1068)

• Fast unfolding of communities in large networks
• Community detection in graphs
• DeepWalk: Online Learning of Social Representations
• Natural Scales in Geographical Patterns
• Finding community structure in networks using the eigenvectors of matrices
• Cooperative Game Theory Approaches for Network Partitioning
• Synchronization in complex networks
• Collective motion
• Characterization of complex networks: A survey of measurements
• Community detection in networks: A user guide
• Networks beyond pairwise interactions: structure and dynamics
• The Structure and Dynamics of Co-Citation Clusters: A Multiple-Perspective Co-Citation Analysis
• Finding statistically significant communities in networks
• A smart local moving algorithm for large-scale modularity-based community detection
• Community structure in directed networks
• Controllability of Brain Networks
• The performance of modularity maximization in practical contexts
• Mathematical Formulation of Multi-Layer Networks
• Statistical physics of vaccination
• Consensus clustering in complex networks
• An information-theoretic framework for resolving community structure in complex networks
• Finding overlapping communities in networks by label propagation
• GCC: Graph Contrastive Coding for Graph Neural Network Pre-Training
• Communicability in complex networks
• Detect overlapping and hierarchical community structure in networks
• Social Structure of Facebook Networks
• Hierarchical modularity in human brain functional networks
• Geo-located Twitter as the proxy for global mobility patterns
• Control Principles of Complex Networks
• Clustering and Community Detection in Directed Networks: A Survey
• Extracting the hierarchical organization of complex systems
• Detecting modules in quantitative bipartite networks: the QuaBiMo algorithm
• Limits of modularity maximization in community detection
• The evolutionary origins of modularity
• Sustaining the Internet with Hyperbolic Mapping
• Robust Detection of Dynamic Community Structure in Networks
• Community detection in networks with positive and negative links
• Analysis of the structure of complex networks at different resolution levels
• Statistical physics of inference: Thresholds and algorithms
• Spectral methods for network community detection and graph partitioning
• Module identification in bipartite and directed networks
• Random Walks, Markov Processes and the Multiscale Modular Organization of Complex Networks
• Laplacian Dynamics and Multiscale Modular Structure in Networks
• Memory in network flows and its effects on spreading dynamics and community detection
• A Tutorial in Connectome Analysis: Topological and Spatial Features of Brain Networks
• Community detection in networks: Modularity optimization and maximum likelihood are equivalent
• Unification of theoretical approaches for epidemic spreading on complex networks
• The Physics of Communicability in Complex Networks
• Uncovering space-independent communities in spatial networks
• Robustness of community structure in networks
• A Comprehensive Survey on Community Detection with Deep Learning
• Extending the definition of modularity to directed graphs with overlapping communities
• Which type of citation analysis generates the most accurate taxonomy of scientific and technical knowledge?
• Community landscapes: an integrative approach to determine overlapping network module hierarchy, identify key nodes and predict network dynamics
• Modularity-Maximizing Network Communities via Mathematical Programming
• Size reduction of complex networks preserving modularity
• Graph spectra and the detectability of community structure in networks
• Fast community detection by SCORE
• Community Detection via Maximization of Modularity and Its Variants
• The multilayer connectome of Caenorhabditis elegans
• Segregation, integration and balance of large-scale resting brain networks configure different cognitive abilities
• A Classification for Community Discovery Methods in Complex Networks
• VERSE: Versatile Graph Embeddings from Similarity Measures
• Coevolution spreading in complex networks
• Graph Metrics for Temporal Networks
• Consistency of community detection in networks under degree-corrected stochastic block models
• Analysis of community structure in networks of correlated data
• Eigenvector Centrality Distribution for Characterization of Protein Allosteric Pathways
• Inverse Statistical Physics of Protein Sequences: A Key Issues Review
• Pseudo-likelihood methods for community detection in large sparse networks
• Modularity clustering is force-directed layout
• Community structure and scale-free collections of Erdös-Rényi graphs
• Advanced modularity-specialized label propagation algorithm for detecting communities in networks
• Stochastic blockmodels with growing number of classes
• Network resilience
• A Review of Stochastic Block Models and Extensions for Graph Clustering
• Analysis of Network Clustering Algorithms and Cluster Quality Metrics at Scale
• Network Geometry
• Random Walks on Simplicial Complexes and the normalized Hodge 1-Laplacian
• Clustering on Multi-Layer Graphs via Subspace Analysis on Grassmann Manifolds
• Graph signal processing for machine learning: A review and new perspectives
• Identifying modular flows on multilayer networks reveals highly overlapping organization in social systems
• A General Optimization Technique for High Quality Community Detection in Complex Networks
• Dynamic network drivers of seizure generation, propagation and termination in human epilepsy
• Nonparametric Bayesian inference of the microcanonical stochastic block model
• Network Analysis of Particles and Grains
• Evaluating Local Community Methods in Networks
• Tolerating the Community Detection Resolution Limit with Edge Weighting
• Identifying network communities with a high resolution
• On community structure in complex networks: challenges and opportunities
• The Diverse Club: The Integrative Core of Complex Networks
• Community extraction for social networks
• LinkRank: Finding communities in directed networks
• Maximizing Modularity is hard
• Developmental increases in white matter network controllability support a growing diversity of brain dynamics
• Multiscale and multimodal network dynamics underpinning working memory
• Exploring the Free Energy Landscape: From Dynamics to Networks and Back
• Community Structure of the Physical Review Citation Network
• Detecting criminal organizations in mobile phone networks
• Combining complex networks and data mining: why and how
• Multilayer Brain Networks
• Efficient modularity optimization by multistep greedy algorithm and vertex mover refinement
• Community Structure in Congressional Cosponsorship Networks
• Synchronization processes in complex networks
• Communities, Knowledge Creation, and Information Diffusion
• Evaluating Overfit and Underfit in Models of Network Community Structure
• Markov dynamics as a zooming lens for multiscale community detection: non clique-like communities and the field-of-view limit
• The many facets of community detection in complex networks
• Delineating geographical regions with networks of human interactions in an extensive set of countries
• Preferential Detachment During Human Brain Development: Age- and Sex-Specific Structural Connectivity in Diffusion Tensor Imaging (DTI) Data
• Large-scale structure of time evolving citation networks
• Inequality is rising where social network segregation interacts with urban topology
• Influence of Neighborhood SES on Functional Brain Network Development
• Community detection for correlation matrices
• Interconnectedness in the Global Financial Market
• Spectral coarse-graining of complex networks
• Revisiting Date and Party Hubs: Novel Approaches to Role Assignment in Protein Interaction Networks
• Clustering scientific publications based on citation relations: A systematic comparison of different methods
• Social Dynamics of Science
• Coauthorship and Citation Networks for Statisticians
• Extraction of Force-Chain Network Architecture in Granular Materials Using Community Detection
• Adaptive Evolutionary Clustering
• The compositional and evolutionary logic of metabolism
• Unified functional network and nonlinear time series analysis for complex systems science: The pyunicorn package
• Analyzing complex functional brain networks: fusing statistics and network science to understand the brain
• Choosing Wavelet Methods, Filters, and Lengths for Functional Brain Network Construction
• Quantifying and identifying the overlapping community structure in networks
• EdMot: An Edge Enhancement Approach for Motif-aware Community Detection
• Multi-scale community organization of the human structural connectome and its relationship with resting-state functional connectivity
• Improved community structure detection using a modified fine tuning strategy
• Graph Unlearning
• Motif-based communities in complex networks
• Bi-clique Communities
• Prediction and Clustering in Signed Networks: A Local to Global Perspective
• Statistical significance of communities in networks
• The Influence of Network Topology on Sound Propagation in Granular Materials
• A topological criterion for filtering information in complex brain networks
• The evolutionary origins of hierarchy
• A goodness-of-fit test for stochastic block models
• Supervised Community Detection with Line Graph Neural Networks
• Statistical inference on random dot product graphs: a survey
• Clustering Network Layers With the Strata Multilayer Stochastic Block Model
• Social significance of community structure: Statistical view
• Clarifying Trust in Social Internet of Things
• Deciphering Network Community Structure by Surprise
• Directed network modules
• Event detection, tracking, and visualization in Twitter: a mention-anomaly-based approach
• Evolution of network architecture in a granular material under compression
• Computational Socioeconomics
• Alignment and integration of complex networks by hypergraph-based spectral clustering
• Operating Regimes of Signaling Cycles: Statics, Dynamics, and Noise Filtering
• Hypergraph reconstruction from network data
• Model selection and hypothesis testing for large-scale network models with overlapping groups
• The Scientific Prize Network Predicts Who Pushes the Boundaries of Science
• Spatial Guilds in the Serengeti Food Web Revealed by a Bayesian Group Model
• Current and future directions in network biology
• Currency and commodity metabolites: Their identification and relation to the modularity of metabolic networks
• A Large-Scale Community Structure Analysis In Facebook
• Cascading Dynamics in Modular Networks
• Empirical Comparison of Algorithms for Network Community Detection
• Resolving structural variability in network models and the brain
• Using network science and text analytics to produce surveys in a scientific topic
• Spectral methods for the detection of network community structure: a comparative analysis
• Spectra of random graphs with arbitrary expected degrees
• Emergence of core-peripheries in networks
• Modular gateway-ness connectivity and structural core organization in maritime network science
• Multiscale Event Detection in Social Media
• A nonuniform popularity-similarity optimization (nPSO) model to efficiently generate realistic complex networks with communities
• Parameter Transfer for Quantum Approximate Optimization of Weighted MaxCut
• Patterns of authors contribution in scientific manuscripts
• Overlapping Community Detection in Complex Networks using Symmetric Binary Matrix Factorization
• Z-score-based modularity for community detection in networks
• The Cinderella Complex: Word Embeddings Reveal Gender Stereotypes in Movies and Books
• Modularity measure of networks with overlapping communities
• Multistart Methods for Quantum Approximate Optimization
• How humans learn and represent networks
• Ideological and Temporal Components of Network Polarization in Online Political Participatory Media
• Strategy evolution on dynamic networks
• Spectral tripartitioning of networks
• Community Detecting By Signaling on Complex Networks
• A New Comparative Definition of Community and Corresponding Identifying Algorithm
• Layer VQE: A Variational Approach for Combinatorial Optimization on Noisy Quantum Computers
• Multiway spectral community detection in networks
• Mesoscopic organization reveals the constraints governing C. elegans nervous system
• Spatio-Temporal Data Mining: A Survey of Problems and Methods
• Identifying robust communities and multi-community nodes by combining top-down and bottom-up approaches to clustering
• Detecting Multiple Communities Using Quantum Annealing on the D-Wave System
• Non-parametric Bayesian modeling of complex networks
• Measuring Node Contribution to Community Structure with Modularity Vitality
• Map equation for link community
• Random matrix analysis of complex networks
• Representation Learning for Natural Language Processing
• Structure of local interactions in complex financial dynamics
• Graph-based Anomaly Detection and Description: A Survey
• Bipartite Community Structure of eQTLs
• Encoding dynamics for multiscale community detection: Markov time sweeping for the Map equation
• Prediction of highly cited papers
• Developments in the theory of randomized shortest paths with a comparison of graph node distances
• Asymptotic theory for the dynamic of networks with heterogenous social capital allocation
• Statistical inference of assortative community structures
• A Review of Modularization Techniques in Artificial Neural Networks
• Complex networks vulnerability to module-based attacks
• Adversarial Attack on Community Detection by Hiding Individuals
• Brain Modularity Mediates the Relation between Task Complexity and Performance
• Estimating the resolution limit of the map equation in community detection
• Clustering articles based on semantic similarity
• RECOME: a New Density-Based Clustering Algorithm Using Relative KNN Kernel Density
• Resolving Structure in Human Brain Organization: Identifying Mesoscale Organization in Weighted Network Representations
• Improved mutual information measure for classification and community detection
• Brain Network Construction and Classification Toolbox (BrainNetClass)
• Propagation dynamics on networks featuring complex topologies
• Diversity of information pathways drives scaling and sparsity in real-world networks
• Multilink Communities of Multiplex Networks
• Synchronization and modularity in complex networks
• Node-weighted measures for complex networks with spatially embedded, sampled, or differently sized nodes
• Streaming Graph Challenge: Stochastic Block Partition
• Automated Delineation of Hospital Service Areas and Hospital Referral Regions by Modularity Optimization
• The stability of a graph partition: A dynamics-based framework for community detection
• Network polarization, filter bubbles, and echo chambers: An annotated review of measures and reduction methods
• Exploring the structural regularities in networks
• Consistencies and inconsistencies between model selection and link prediction in networks
• Identification of network modules by optimization of ratio association
• Community Structure Detection in Complex Networks with Partial Background Information
• Community Structure in the United Nations General Assembly
• Googling Social Interactions: Web Search Engine Based Social Network Construction
• Finding and testing network communities by lumped Markov chains
• Multi-scale structure and topological anomaly detection via a new network statistic: The onion decomposition
• Consistency of community structure in complex networks
• Multilayer weighted social network model
• Community detection with node attributes in multilayer networks
• Local dominance unveils clusters in networks
• Social capital predicts corruption risk in towns
• Will the US Economy Recover in 2010? A Minimal Spanning Tree Study
• Weight Thresholding on Complex Networks
• Hierarchical multiresolution method to overcome the resolution limit in complex networks
• End to end learning and optimization on graphs
• Comparison of Communities Detection Algorithms for Multiplex
• How deep is deep enough? -- Quantifying class separability in the hidden layers of deep neural networks
• Robustness of the international oil trade network under targeted attacks to economies
• Topological and geometric measurements of force chain structure
• Prioritizing network communities
• Descriptive vs. inferential community detection in networks: pitfalls, myths, and half-truths
• Community structure: A comparative evaluation of community detection methods
• Detectability of communities in heterogeneous networks
• A functional clustering algorithm for the analysis of dynamic network data
• Network Community Detection On Small Quantum Computers
• Model of Brain Activation Predicts the Neural Collective Influence Map of the Brain
• A New Metric for Quality of Network Community Structure
• Detecting Important Nodes to Community Structure Using the Spectrum of the Graph
• Mesoscopic Structures Reveal the Network Between the Layers of Multiplex Datasets
• Comparative evaluation of community-aware centrality measures
• Random Graph Modeling: A survey of the concepts
• The role of homophily in the emergence of opinion controversies
• Multilevel Combinatorial Optimization Across Quantum Architectures
• Spatial-Temporal Dynamics of High-Resolution Animal Social Networks: What Can We Learn from Domestic Animals?
• Influence of augmented humans in online interactions during voting events
• Uncovering the community structure associated with the diffusion dynamics of networks
• Looplessness in networks is linked to trophic coherence
• Hierarchical ordering of reticular networks
• DynaMo: Dynamic Community Detection by Incrementally Maximizing Modularity
• Deep Community Detection
• Community structure and the evolution of interdisciplinarity in Slovenia's scientific collaboration network
• Spectra of networks containing short loops
• Potts model based on a Markov process computation solves the community structure problem effectively
• The strength of strong ties in scientific collaboration networks
• Spectra of random networks with arbitrary degrees
• Covariance, correlation matrix and the multi-scale community structure of networks
• State and Network Structures of Stock Markets around the Global Financial Crisis
• Magnetic eigenmaps for community detection in directed networks
• A Survey on Theoretical Advances of Community Detection in Networks
• Markov random walk under constraint for discovering overlapping communities in complex networks
• Multi-scale Modularity in Complex Networks
• Networking - A Statistical Physics Perspective
• Graph Clustering with Graph Neural Networks
• Using Triangles to Improve Community Detection in Directed Networks
• Metabolic robustness and network modularity: A model study
• Social contagions on time-varying community networks
• Divide and Conquer: Partitioning Online Social Networks
• Co-clustering separately exchangeable network data
• Structural limitations of learning in a crowd: communication vulnerability and information diffusion in MOOCs
• Maximizing Influence Propagation in Networks with Community Structure
• Conserved Ising Model on the Human Connectome
• Community detection in networks using graph embeddings
• IEDC: An Integrated Approach for Overlapping and Non-overlapping Community Detection
• A Case Study in Text Mining: Interpreting Twitter Data From World Cup Tweets
• Random matrix analysis of localization properties of Gene co-expression network
• Hidden Symmetries in Real and Theoretical Networks
• Conformity, anticonformity and polarization of opinions: insights from a mathematical model of opinion dynamics
• Estimating the number of communities in networks by spectral methods
• Synergetic and redundant information flow detected by unnormalized Granger causality: application to resting state fMRI
• Network community-based model reduction for vortical flows
• Is stochastic thermodynamics the key to understanding the energy costs of computation?
• Network Representation Learning: A Survey
• Identifying the structural discontinuities of human interactions
• Evolution of cooperation in multilevel public goods games with community structures
• Using higher-order Markov models to reveal flow-based communities in networks
• Trapping in scale-free networks with hierarchical organization of modularity
• Mesoscopic Community Structure of Financial Markets Revealed by Price and Sign Fluctuations
• Detecting communities of triangles in complex networks using spectral optimization
• The time geography of segregation during working hours
• Robust Detection of Hierarchical Communities from Escherichia coli Gene Expression Data
• Universality of striped morphologies
• Complex Quantum Networks: a Topical Review
• Detecting Dynamic Community Structure in Functional Brain Networks Across Individuals: A Multilayer Approach
• Deterministic Modularity Optimization
• Detection of node group membership in networks with group overlap
• AEGCN: An Autoencoder-Constrained Graph Convolutional Network
• DEMON: a Local-First Discovery Method for Overlapping Communities
• On the Complexity of Newman's Community Finding Approach for Biological and Social Networks
• Simple and efficient self-healing strategy for damaged complex networks
• Complex Networks Unveiling Spatial Patterns in Turbulence
• Random graph approach to multifunctional molecular networks
• Word sense induction using word embeddings and community detection in complex networks
• Seven properties of self-organization in the human brain
• A testing based extraction algorithm for identifying significant communities in networks
• A hybrid algorithm based on Community Detection and Multi-Attribute Decision-Making for Influence Maximization
• Community Detection in Complex Networks by Dynamical Simplex Evolution
• Inversion method for content-based networks
• Unfolding the multiscale structure of networks with dynamical Ollivier-Ricci curvature
• Random walks in modular scale-free networks with multiple traps
• Network community detection using modularity density measures
• A bag-of-paths framework for network data analysis
• Topological-collaborative approach for disambiguating authors' names in collaborative networks
• Online detection of temporal communities in evolving networks by estrangement confinement
• Development of modularity in the neural activity of children's brains
• Uncovering allosteric pathways in caspase-1 with Markov transient analysis and multiscale community detection
• Multilayer Network Science: from Cells to Societies
• Identifying communities by influence dynamics in social networks
• Measuring Significance of Community Structure in Complex Networks
• Network Clustering via Maximizing Modularity: Approximation Algorithms and Theoretical Limits
• Regional and Sectoral Structures and Their Dynamics of Chinese Economy: A Network Perspective from Multi-Regional Input-Output Tables
• Efficient community-based control strategies in adaptive networks
• Fast and accurate determination of modularity and its effect size
• Adaptive Modularity Maximization via Edge Weighting Scheme
• Dynamics of Majority Rule on Hypergraphs
• Community structure benefits the fixation of cooperation under strong selection
• Community Structure in Large Networks: Natural Cluster Sizes and the Absence of Large Well-Defined Clusters
• Mutation Rules and the Evolution of Sparseness and Modularity in Biological Systems
• Phase Transitions in Spectral Community Detection
• Finding network communities using modularity density
• Joint community and anomaly tracking in dynamic networks
• Bi-Objective Community Detection (BOCD) in Networks using Genetic Algorithm
• Transfer entropy between communities in complex networks
• Predicting Successful Memes using Network and Community Structure
• Discrete-time quantum walk on complex networks for community detection
• Spectra of Modular and Small-World Matrices
• Revealing biases in the sampling of ecological interaction networks
• Centralized Modularity of N-Linked Glycosylation Pathways in Mammalian Cells
• Cross-validation estimate of the number of clusters in a network
• Efficient mitigation strategies for epidemics in rural regions
• Random matrix analysis of network Laplacians
• CONTAIN: A Community-based Algorithm for Network Immunization
• Codon Bias Patterns of $E.coli$'s Interacting Proteins
• The Complex Hierarchical Topology of EEG Functional Connectivity
• Tracking and Predicting Evolution of Social Communities
• Climatic seasonality may affect ecological network structure: Food webs and mutualistic networks
• Universality of the stochastic block model
• Clustering Phase Transitions and Hysteresis: Pitfalls in Constructing Network Ensembles
• Network positions in active learning environments in physics
• Three-state opinion dynamics in modular networks
• Robustness and modular structure in networks
• The interplay between conformity and anticonformity and its polarizing effect on society
• Different approaches to community detection
• Optimizing an Organized Modularity Measure for Topographic Graph Clustering: a Deterministic Annealing Approach
• Emergence of dynamic properties in network hyper-motifs
• Spectral Properties of Directed Random Networks with Modular Structure
• Genetic Algorithm with a Local Search Strategy for Discovering Communities in Complex Networks
• Community Detection with and without Prior Information
• Nanowire networks: how does small-world character evolve with dimensionality?
• Community Detection Across Emerging Quantum Architectures
• A nonparametric two-sample hypothesis testing problem for random dot product graphs
• Hierarchical community structure in networks
• Network Modularity Controls the Speed of Information Diffusion
• Analysis of stability of community structure across multiple hierarchical levels
• Synwalk -- Community Detection via Random Walk Modelling
• Opinion diversity and community formation in adaptive networks
• Hierarchical benchmark graphs for testing community detection algorithms
• Finding communities in sparse networks
• xDGP: A Dynamic Graph Processing System with Adaptive Partitioning
• Revealing Multiple Layers of Hidden Community Structure in Networks
• POLE: Polarized Embedding for Signed Networks
• Randomizing hypergraphs preserving degree correlation and local clustering
• Spectral analysis of deformed random networks
• Extension of Modularity Density for Overlapping Community Structure
• Positive algorithmic bias cannot stop fragmentation in homophilic networks
• Community core detection in transportation networks
• Model validation of simple-graph representations of metabolism
• From Modular to Distributed Open Architectures: A Unified Decision Framework
• eBay users form stable groups of common interest
• Community detection in directed acyclic graphs
• Spreading paths in partially observed social networks
• A Graph-Based Modeling Abstraction for Optimization: Concepts and Implementation in Plasmo.jl
• Community evolution in retweet networks
• Community detection and Social Network analysis based on the Italian wars of the 15th century
• Community extraction in multilayer networks with heterogeneous community structure
• DMCS : Density Modularity based Community Search
• Multi-Population Phase Oscillator Networks with Higher-Order Interactions
• Universal Phase Transition in Community Detectability under a Stochastic Block Model
• Representative community divisions of networks
• Meta-validation of bipartite network projections
• Epidemic spreading on preferred degree adaptive networks
• Detecting Overlapping Temporal Community Structure in Time-Evolving Networks
• Community Detection in Networks using Graph Distance
• Static and dynamic measures of human brain connectivity predict complementary aspects of human cognitive performance
• Strategies for online inference of model-based clustering in large and growing networks
• Community detection in bipartite networks using weighted symmetric binary matrix factorization
• Integrating temporal and spatial scales: Human structural network motifs across age and region-of-interest size
• Overlapping Community Detection in Bipartite Networks
• A Unified Method of Detecting Core-Periphery Structure and Community Structure in Networks
• Blockchain Network Analysis: A Comparative Study of Decentralized Banks
• Centrally Administered State-Owned Enterprises' Engagement in China's Public-Private Partnerships: A Social Network Analysis
• A statistical model for brain networks inferred from large-scale electrophysiological signals
• Statistical Analysis of the Road Network of India
• Hierarchical mutual information for the comparison of hierarchical community structures in complex networks
• Spectral Clustering with Epidemic Diffusion
• Microfluidic cell engineering on high-density microelectrode arrays for assessing structure-function relationships in living neuronal networks
• Flow stability for dynamic community detection
• A literature survey of matrix methods for data science
• Information content: assessing meso-scale structures in complex networks
• Improving the performance of algorithms to find communities in networks
• Dynamics and Processing in Finite Self-Similar Networks
• Determining the number of factors in a forecast model by a random matrix test: cryptocurrencies
• Identifying overlapping communities in social networks using multi-scale local information expansion
• Similarity of Neural Network Models: A Survey of Functional and Representational Measures
• Dynamical robustness of network of oscillators
• Social and place-focused communities in location-based online social networks
• Multistability in coupled oscillator systems with higher-order interactions and community structure
• Community Detection in Dynamic Networks via Adaptive Label Propagation
• From Relational Data to Graphs: Inferring Significant Links using Generalized Hypergeometric Ensembles
• Group detection in complex networks: An algorithm and comparison of the state of the art
• Weighted Spectral Cluster Ensemble
• City limits in the age of smartphones and urban scaling
• The Emergence of Canalization and Evolvability in an Open-Ended, Interactive Evolutionary System
• A place-focused model for social networks in cities
• A Framework for Quantifying Controversy of Social Network Debates Using Attributed Networks: Biased Random Walk (BRW)
• Exact results for the first-passage properties in a class of fractal networks
• Combinatorial approach to Modularity
• RobustECD: Enhancement of Network Structure for Robust Community Detection
• Detection of Community Structures in Networks with Nodal Features based on Generative Probabilistic Approach
• Component models for large networks
• Explicitly Linking Regional Activation and Function Connectivity: Community Structure of Weighted Networks with Continuous Annotation
• Walk modularity and community structure in networks
• Genetic flow directionality and geographical segregation in a Cymodocea nodosa genetic diversity network
• Separating Polarization from Noise: Comparison and Normalization of Structural Polarization Measures
• Can Adversarial Network Attack be Defended?
• What do we see when we look at networks
• A generative model for protein contact networks
• A novel metric for community detection
• BioCode: A Data-Driven Procedure to Learn the Growth of Biological Networks
• Region2Vec: Community Detection on Spatial Networks Using Graph Embedding with Node Attributes and Spatial Interactions
• Fast Detection of Community Structures using Graph Traversal in Social Networks
• Lifespan associations of resting-state brain functional networks with ADHD symptoms
• G2SAT: Learning to Generate SAT Formulas
• Exact Blind Community Detection from Signals on Multiple Graphs
• Architecture and evolution of semantic networks in mathematics texts
• Community detection in networks via nonlinear modularity eigenvectors
• Mesoscopic analysis of networks: applications to exploratory analysis and data clustering
• Exploration of an Interdisciplinary Scientific Landscape
• Alternative approach to community detection in networks
• Simulated evolution of protein-protein interaction networks with realistic topology
• The emergent integrated network structure of scientific research
• Ant Colony Optimization with a New Random Walk Model for Community Detection in Complex Networks
• Multiplex Communities and the Emergence of International Conflict
• Analytical results for stochastically growing networks: connection to the zero range process
• Simplex2Vec embeddings for community detection in simplicial complexes
• Dense networks with scale-free feature
• Two Roads Diverged: A Semantic Network Analysis of Guanxi on Twitter
• Determining the Number of Communities in Degree-corrected Stochastic Block Models
• Topological Connectedness and Behavioral Assumptions on Preferences: A Two-Way Relationship
• Eigenvector-based analysis of cluster synchronization in general complex networks of coupled chaotic oscillators
• Distributed Resource Management in Systems of Systems: An Architecture Perspective
• Generalised hypergeometric ensembles of random graphs: the configuration model as an urn problem
• Detecting Overlapping Communities from Local Spectral Subspaces
• Resilience of international oil trade networks under extreme event shock-recovery simulations
• Global Mapping of Gene/Protein Interactions in PubMed Abstracts: A Framework and an Experiment with P53 Interactions
• Center-Periphery Structure in Communities: Extracellular Vesicles
• Maximizing Barber's bipartite modularity is also hard
• Evolution of Coordination in Social Networks: A Numerical Study
• A novel framework to analyze complex network dynamics
• Optimal modularity for nucleation in network-organized Ising model
• Revisiting Dynamic Graph Clustering via Matrix Factorization
• Revealing recurrent regimes of mid-latitude atmospheric variability using novel machine learning method
• Network properties of healthy and Alzheimer's brains
• Learning to Identify High Betweenness Centrality Nodes from Scratch: A Novel Graph Neural Network Approach
• Blind Inference of Eigenvector Centrality Rankings
• Transient crosslinking kinetics optimize gene cluster interactions
• Discovering link communities in complex networks by exploiting link dynamics
• A similarity-based community detection method with multiple prototype representation
• Mapping the UK Webspace: Fifteen Years of British Universities on the Web
• Temporal and structural heterogeneities emerging in adaptive temporal networks
• The Energy Landscape of Neurophysiological Activity Implicit in Brain Network Structure
• Implicit Model Specialization through DAG-based Decentralized Federated Learning
• Finding influential spreaders from human activity beyond network location
• The human brain's network architecture is genetically encoded by modular pleiotropy
• Tracing the Evolution of Physics on the Backbone of Citation Networks
• Can Subnetwork Structure be the Key to Out-of-Distribution Generalization?
• Conflicting attachment and the growth of bipartite networks
• Grouping time series by pairwise measures of redundancy
• Metabolic network modularity arising from simple growth processes
• Overcoming Language Variation in Sentiment Analysis with Social Attention
• Multi-resolution community detection in massive networks
• Fuzzy Overlapping Community Quality Metrics
• Temporal visitation patterns of points of interest in cities on a planetary scale: a network science and machine learning approach
• Detecting Communities in Tripartite Hypergraphs
• A robust spectral method for finding lumpings and meta stable states of non-reversible Markov chains
• Hierarchical core-periphery structure in networks
• Functional structure in production networks
• Impact of centrality on cooperative processes
• Path-dependent connectivity, not modularity, consistently predicts controllability of structural brain networks
• Model selection and clustering in stochastic block models with the exact integrated complete data likelihood
• Finding Community Structure Based on Subgraph Similarity
• Confidence sets for network structure
• Analysis of heat kernel highlights the strongly modular and heat-preserving structure of proteins
• Community detection with nodal information
• Inference for graphs and networks: Extending classical tools to modern data
• Time series analysis of temporal networks
• Multilayer Resource-aware Partitioning for Fog Application Placement
• Variational Community Partition with Novel Network Structure Centrality Prior
• Natural clustering: the modularity approach
• Characterization of Subgraphs Relationships and Distribution in Complex Networks
• Reliable Node Similarity Matrix Guided Contrastive Graph Clustering
• Revisiting the Bethe-Hessian: Improved Community Detection in Sparse Heterogeneous Graphs
• Non-parametric resampling of random walks for spectral network clustering
• Comparative analysis on the selection of number of clusters in community detection
• Human Mobility Networks Manifest Dissimilar Resilience Characteristics at Macroscopic, Substructure, and Microscopic Scales
• Multislice Modularity Optimization in Community Detection and Image Segmentation
• Community detection for weighted bipartite networks
• Intermediacy of publications
• Structural preferential attachment: Stochastic process for the growth of scale-free, modular and self-similar systems
• Asymptotic resolution bounds of generalized modularity and multi-scale community detection
• Heuristic Modularity Maximization Algorithms for Community Detection Rarely Return an Optimal Partition or Anything Similar
• How Social Rewiring Preferences Bridge Polarized Communities
• An algebraic analysis of the graph modularity
• Geometric Multiscale Community Detection: Markov Stability and Vector Partitioning
• Literature Survey on Interplay of Topics, Information Diffusion and Connections on Social Networks
• The existence of Bogomolny decompositions for gauged baby Skyrme models
• Substance graphs are optimal simple-graph representations of metabolism
• Chatty Maps: Constructing sound maps of urban areas from social media data
• A Study on Modularity Density Maximization: Column Generation Acceleration and Computational Complexity Analysis
• Community Detection in Networks with Node Features
• Opinion Manipulation on Farsi Twitter
• Phase-Space Networks of Geometrical Frustrated Systems
• Collective effects of link failures in linear flow networks
• Semantic flow in language networks
• Regularized Stochastic Block Model for robust community detection in complex networks
• Synchronization transitions on connectome graphs with external force
• On Network Science and Mutual Information for Explaining Deep Neural Networks
• Gravity model for dyadic Olympic competitions
• Finding overlapping communities in networks using evolutionary method
• Inference of forex and stock-index financial networks based on the normalised mutual information rate
• Phase Transitions and a Model Order Selection Criterion for Spectral Graph Clustering
• Temporal prediction of epidemic patterns in community networks
• Cyber Network Resilience against Self-Propagating Malware Attacks
• Effective and Efficient PageRank-based Positioning for Graph Visualization
• Spectral coarse graining for random walk in bipartite networks
• Structural dynamics of plant-pollinator mutualistic networks
• KCoreMotif: An Efficient Graph Clustering Algorithm for Large Networks by Exploiting k-core Decomposition and Motifs
• Relevance of Negative Links in Graph Partitioning: A Case Study Using Votes From the European Parliament
• Hypergraph Clustering: A Modularity Maximization Approach
• Community structure revealed by phase locking
• Exotic phase transitions of k-cores in clustered networks
• Resampling effects on significance analysis of network clustering and ranking
• Network Cross-Validation for Determining the Number of Communities in Network Data
• The landscape of NeuroImage-ing research
• Chimera states in neural networks and power systems
• A Similarity Approach to Cities and Features
• Guiding Neuroevolution with Structural Objectives
• Community detection problem based on polarization measures:an application to Twitter: the COVID-19 case in Spain
• Emergence of Network Motifs in Deep Neural Networks
• Unsupervised clustering analysis: a multiscale complex networks approach
• Estimating whole brain dynamics using spectral clustering
• Authorship Attribution Using Word Network Features
• Quality functions in community detection
• Mathematical and Algorithmic Analysis of Network and Biological Data
• Community Detection in Partially Observable Social Networks
• Propinquity drives the emergence of network structure and density
• Social Network Fusion and Mining: A Survey
• Communities and classes in symmetric fractals
• Mapping Coupled Time-series Onto Complex Network
• On the Permanence of Vertices in Network Communities
• Statistical test for detecting community structure in real-valued edge-weighted graphs
• Riemannian-geometric entropy for measuring network complexity
• Local community extraction in directed networks
• Maximal modularity and the optimal size of parliaments
• Filtering higher-order datasets
• Dynamics Based Features For Graph Classification
• Reduced network extremal ensemble learning (RenEEL) scheme for community detection in complex networks
• Dynamic Computation of Network Statistics via Updating Schema
• Detectability of the spectral method for sparse graph partitioning
• A unified framework for spectral clustering in sparse graphs
• Community Detection via Local Dynamic Interaction
• Implicit models, latent compression, intrinsic biases, and cheap lunches in community detection
• Learning-Induced Autonomy of Sensorimotor Systems
• EM-Based Smooth Graphon Estimation Using Bayesian and Spline-Based Approaches
• Pairwise Covariates-adjusted Block Model for Community Detection
• Mutual Hyperlinking Among Misinformation Peddlers
• Event-driven simulations of a plastic, spiking neural network
• Hierarchical community detection by recursive partitioning
• Detecting groups of similar components in complex networks
• Modularity in Deep Learning: A Survey
• Random walks in unweighted and weighted modular scale-free networks with a perfect trap
• Benefits of Semantics on Web Service Composition from a Complex Network Perspective
• Bayesian Degree-Corrected Stochastic Blockmodels for Community Detection
• Complex systems: features, similarity and connectivity
• Improving power-grid systems via topological changes, or how self-organized criticality can help stability
• Efficient Bayesian Community Detection using Non-negative Matrix Factorisation
• Modularity in Multilayer Networks using Redundancy-based Resolution and Projection-based Inter-Layer Coupling
• Double phase transition of the Ising model in core-periphery networks
• Topology-Agnostic Detection of Temporal Money Laundering Flows in Billion-Scale Transactions
• Detecting the optimal number of communities in complex networks
• Comparison of Modules of Wild Type and Mutant Huntingtin and TP53 Protein Interaction Networks: Implications in Biological Processes and Functions
• MeetSense: A Lightweight Framework for Group Identification using Smartphones
• Analyzing Ideological Communities in Congressional Voting Networks
• Multi-level algorithms for modularity clustering
• Community Detection using a Measure of Global Influence
• Contrarian effects and echo chamber formation in opinion dynamics
• Extraction and integration of genetic networks from short-profile omic datasets
• Music to My Ears: Neural modularity and flexibility differ in response to real-world music stimuli
• Minimal paths between communities induced by geographical networks
• Frustrated Random Walks: A Faster Algorithm to Evaluate Node Distances on Connected and Undirected Graphs
• Temporal connection signatures of human brain networks after stroke
• Forecasting landslides using community detection on geophysical satellite data
• Learning Topological Representation for Networks via Hierarchical Sampling
• POISED: Spotting Twitter Spam Off the Beaten Paths
• Dynamical heterogeneity and universality of power-grids
• Discovering Social Circles in Ego Networks
• Hippocluster: an efficient, hippocampus-inspired algorithm for graph clustering
• Emergence of Clustering in an Acquaintance Model without Homophily
• Vulnerable to Misinformation? Verifi!
• Emergence and persistence of communities in coevolutionary networks
• Multi-scale Laplacian community detection in heterogeneous networks
• Performance of a community detection algorithm based on semidefinite programming
• Modular hierarchical and power-law small-world networks bear structural optima for minimal first passage times and cover time
• Directed propaganda in the majority-rule model
• Organizational structure and communication networks in a university environment
• Asymmetrically connected reservoir networks learn better
• Certified Robustness of Community Detection against Adversarial Structural Perturbation via Randomized Smoothing
• What do Vegans do in their Spare Time? Latent Interest Detection in Multi-Community Networks
• Resolution Limits for Detecting Community Changes in Multilayer Networks
• Community detection in sparse time-evolving graphs with a dynamical Bethe-Hessian
• Temporal Clustering in Dynamic Networks with Tensor Decomposition
• A hierarchy index for networks in the brain reveals a complex entangled organizational structure
• Additive Approximation Algorithms for Modularity Maximization
• Influence-based Community Partition with Sandwich Method for Social Networks
• Dual communities in spatial networks
• PDP: A General Neural Framework for Learning Constraint Satisfaction Solvers
• Geographic characterization of railway systems
• Emerging communities in networks - a flow of ties
• Bayan Algorithm: Detecting Communities in Networks Through Exact and Approximate Optimization of Modularity
• Scalable Spectral Algorithms for Community Detection in Directed Networks
• Heterogeneous Data Fusion Considering Spatial Correlations using Graph Convolutional Networks and its Application in Air Quality Prediction
• Sample-to-sample fluctuations in real-network ensembles
• Identifying Influential Nodes Using Overlapping Modularity Vitality
• A Latent Parameter Node-Centric Model for Spatial Networks
• Profile Likelihood Biclustering
• Mask-GVAE: Blind Denoising Graphs via Partition
• Scientometric analysis of Condensed Matter Physics journal
• Eigenvector dynamics under perturbation of modular networks
• Node-Context Network Clustering using PARAFAC Tensor Decomposition
• Exact and rapid linear clustering of networks with dynamic programming
• Defining and Evaluating Network Communities based on Ground-truth
• An upper bound on community size in scalable community detection
• Spectral clustering via adaptive layer aggregation for multi-layer networks
• Nonparametric two-sample hypothesis testing for low-rank random graphs of differing sizes
• Calibrating and Improving Graph Contrastive Learning
• Unsupervised Euclidean Distance Attack on Network Embedding
• Covariance and Correlation Kernels on a Graph in the Generalized Bag-of-Paths Formalism
• Decomposition Pipeline for Large-Scale Portfolio Optimization with Applications to Near-Term Quantum Computing
• Metrics matter in community detection
• CommunityGAN: Community Detection with Generative Adversarial Nets
• The architecture of innovation: Tracking face-to-face interactions with ubicomp technologies
• Convex Relaxation Methods for Community Detection
• Nodal domain partition and the number of communities in networks
• Complex self-sustained oscillation patterns in modular excitable networks
• Topics in social network analysis and network science
• A shadowing problem in the detection of overlapping communities: lifting the resolution limit through a cascading procedure
• Covariance Matrix Estimation for High-Throughput Biomedical Data with Interconnected Communities
• Community detection in weighted brain connectivity networks beyond the resolution limit
• OCSM : Finding Overlapping Cohesive Subgraphs with Minimum Degree
• Statistical Mechanics of Semi-Supervised Clustering in Sparse Graphs
• Clustering online social network communities using genetic algorithms
• The Impact of Social Segregation on Human Mobility in Developing and Urbanized Regions
• Mining the modular structure of protein interaction networks
• Non Parametric Statistics of Dynamic Networks with distinguishable nodes
• LinkMirage: How to Anonymize Links in Dynamic Social Systems
• How visas shape and make visible the geopolitical architecture of the planet
• Communities in C.elegans connectome through the prism of non-backtracking walks
• Flow-based Algorithms for Improving Clusters: A Unifying Framework, Software, and Performance
• Enhance the Efficiency of Heuristic Algorithm for Maximizing Modularity Q
• Detection of regulator genes and eQTLs in gene networks
• How modular structure determines operational resilience of power grids
• Using Maximum Entry-Wise Deviation to Test the Goodness-of-Fit for Stochastic Block Models
• An algorithm for network community structure determination by surprise
• Extending modularity by capturing the similarity attraction feature in the null model
• The Asymptotic Distribution of Modularity in Weighted Signed Networks
• A Modular Multiscale Approach to Overlapping Community Detection
• Modular Networks for Validating Community Detection Algorithms
• Community Detection on Networks with Ricci Flow
• Making Communities Show Respect for Order
• Importance of initial conditions in the polarization of complex networks
• Optimizing spreading dynamics in interconnected networks
• Term-community-based topic detection with variable resolution
• The art of community detection
• Correlation between graphs with an application to brain networks analysis
• Identifying bias in cluster quality metrics
• Benchmarking community detection methods on social media data
• Community detection for directed networks revisited using bimodularity
• Inference of hidden structures in complex physical systems by multi-scale clustering
• Off-Policy Evaluation of Probabilistic Identity Data in Lookalike Modeling
• Identifying robust features of community structure in complex networks
• A Spectral Representation of Power Systems with Applications to Adaptive Grid Partitioning and Cascading Failure Localization
• Universal vulnerability in strong modular networks with various degree distributions between inequality and equality
• Mutual information and the encoding of contingency tables
• Learning differential module networks across multiple experimental conditions
• Can biological quantum networks solve NP-hard problems?
• Unsupervised Machine Learning of Open Source Russian Twitter Data Reveals Global Scope and Operational Characteristics
• Estimating the number of communities in weighted networks
• Modeling international crisis synchronization in the World Trade Web
• Finding Community Structure with Performance Guarantees in Complex Networks
• Can one see the shape of a network?
• Finding mixed memberships in categorical data
• Subnetwork Constraints for Tighter Upper Bounds and Exact Solution of the Clique Partitioning Problem
• The rules of multiplayer cooperation in networks of communities
• Multiplex networks of musical artists: the effect of heterogeneous inter-layer links
• Evading Community Detection via Counterfactual Neighborhood Search
• Network Community Detection on Metric Space
• Obtaining Communities with a Fitness Growth Process
• Improving Link Prediction in Intermittently Connected Wireless Networks by Considering Link and Proximity Stabilities
• Fat-tailed distribution derived from first eigenvector of symmetric random sparse matrix
• Antifragility of stochastic transport on networks with damage
• Web Services Dependency Networks Analysis
• Exact P-values for Network Interference
• A Review on MR Based Human Brain Parcellation Methods
• Why don't the modules dominate - Investigating the Structure of a Well-Known Modularity-Inducing Problem Domain
• Network analysis of verbal communications in the novel The Master and Margarita by M.A.Bulgakov
• Contrasting Web Robot and Human Behaviors with Network Models
• Estimating Formation Mechanisms and Degree Distributions in Mixed Attachment Networks
• Causal Unsupervised Semantic Segmentation
• Parallel Toolkit for Measuring the Quality of Network Community Structure
• GAN'SDA Wrap: Geographic And Network Structured Data on surfaces that Wrap around
• Signatures of currency vertices
• Reframing the S\&P500 Network of Stocks along the \nth{21} Century
• Quantum Annealing based Power Grid Partitioning for Parallel Simulation
• Studying power-grid synchronization with incremental refinement of model heterogeneity
• Resource dependency and survivability in complex networks
• AOC; Assembling Overlapping Communities
• Transition from the self-organized to the driven dynamical clusters
• Modularity Optimization as a Training Criterion for Graph Neural Networks
• Community Structure Characterization
• Artificial Intelligence Based Malware Analysis
• Network-theoretic modeling of fluid-structure interactions
• Incorporating User's Preference into Attributed Graph Clustering
• Reliability of relational event model estimates under sampling: how to fit a relational event model to 360 million dyadic events
• Discerning media bias within a network of political allies and opponents: Disruption by partisans
• Location Prediction: Communities Speak Louder than Friends
• Compression-based inference of network motif sets
• A New Community Definition For MultiLayer Networks And A Novel Approach For Its Efficient Computation
• A Unified Framework for Community Detection and Network Representation Learning
• Spectral and Dynamic Consequences of Network Specialization
• Habitat variability does not generally promote metabolic network modularity in flies and mammals
• Community Detection Based on the $L_{\infty }$ convergence of eigenvectors in DCBM
• Compressive Network Analysis
• Network-Based Video Recommendation Using Viewing Patterns and Modularity Analysis: An Integrated Framework
• Vulnerable Connectivity Caused by Local Communities in Spatial Networks
• On weakly optimal partitions in modular networks
• A Local Spectral Method for Graphs: with Applications to Improving Graph Partitions and Exploring Data Graphs Locally
• CIMAGE: Exploiting the Conditional Independence in Masked Graph Auto-encoders
• Community Detection Using Revised Medoid-Shift Based on KNN
• Engineering Structural Robustness in Power Grid Networks Susceptible to Coherent Swing Instability
• An Annotated Graph Model with Differential Degree Heterogeneity for Directed Networks
• Network modularity in the presence of covariates
• Network Formation and Dynamics Among Multi-LLMs
• Detecting a planted community in an inhomogeneous random graph
• SCOREH+: A High-Order Node Proximity Spectral Clustering on Ratios-of-Eigenvectors Algorithm for Community Detection
• NISQ-ready community detection based on separation-node identification
• Discovering Block Structure in Networks
• Consistency between ordering and clustering methods for graphs
• Large Scale Training of Graph Neural Networks for Optimal Markov-Chain Partitioning Using the Kemeny Constant
• Generating Hierarchically Modular Networks via Link Switching
• Mesoscopic Structure of the Stock Market and Portfolio Optimization
• Scalable Deep Graph Clustering with Random-walk based Self-supervised Learning
• Quantum walk on simplicial complexes for simplicial community detection
• Fast Topological Clustering with Wasserstein Distance
• Community detection by resistance distance: automation and benchmark testing
• Connectivity and Community Structure of Online and Register-based Social Networks
• Centrality-Weighted Opinion Dynamics: Disagreement and Social Network Partition
• The Atlas for the Aspiring Network Scientist
• Mesoscopic architecture enhances communication across the Macaque connectome revealing structure-function correspondence in the brain
• Finding Influential Cores via Normalized Ricci Flows in Directed and Undirected Hypergraphs with Applications
• Incorporating uncertainty into the study of animal social networks
• Modular decomposition of Markov chain: detecting hierarchical organization of pervasive communities
• Near-Optimal Fully Dynamic Densest Subgraph
• Simultaneous Dimensionality and Complexity Model Selection for Spectral Graph Clustering
• Maximum Likelihood Estimation of Sparse Networks with Missing Observations
• A network community detection method with integration of data from multiple layers and node attributes
• Non-linear Attributed Graph Clustering by Symmetric NMF with PU Learning
• Inventor collaboration and its persistence across European regions
• Machine Learning Analysis of Complex Networks in Hyperspherical Space
• Evaluating the role of risk networks on risk identification, classification and emergence
• Scientific Article Summarization Using Citation-Context and Article's Discourse Structure
• Modular Representation of Layered Neural Networks
• Cluster-Adaptive Network A/B Testing: From Randomization to Estimation
• Efficient Personalized Community Detection via Genetic Evolution
• An overview and perspective on social network monitoring
• Structure and evolution of a European Parliament via a network and correlation analysis
• A pathway-based network analysis of hypertension-related genes
• Detecting and Extracting Events from Text Documents
• Towards a robust algorithm to determine topological domains from colocalization data
• 2PS: High-Quality Edge Partitioning with Two-Phase Streaming
• Fast Sequence-Based Embedding with Diffusion Graphs
• Multi-Community Detection in Signed Graphs Using Quantum Hardware
• Comprehensive spectral approach for community structure analysis on complex networks
• Casting Light on Invisible Cities: Computationally Engaging with Literary Criticism
• Triple2Vec: Learning Triple Embeddings from Knowledge Graphs
• Considerations about multistep community detection
• Temporal stability in human interaction networks
• On the Consistency of the Likelihood Maximization Vertex Nomination Scheme: Bridging the Gap Between Maximum Likelihood Estimation and Graph Matching
• AMOS: An Automated Model Order Selection Algorithm for Spectral Graph Clustering
• Dynamic Graph Metrics: Tutorial, Toolbox, and Tale
• Community detection using spectral clustering on sparse geosocial data
• Cluster formation and evolution in networks of financial market indices
• The role of vegetables trade network in global epidemics
• BiMAT: a MATLAB(R) package to facilitate the analysis and visualization of bipartite networks
• Shaping Communities out of Triangles
• How to Measure Significance of Community Structure in Complex Networks
• Toward Emerging Topic Detection for Business Intelligence: Predictive Analysis of `Meme' Dynamics
• Understanding complexity via network theory: a gentle introduction
• On the visualization of the detected communities in dynamic networks: A case study of Twitter's network
• Smoothness Sensor: Adaptive Smoothness-Transition Graph Convolutions for Attributed Graph Clustering
• Overlapping Community Detection in Temporal Text Networks
• The Importance of Being Negative: A serious treatment of non-trivial edges in brain functional connectome
• Identification of complex network topologies through delayed mutual information
• A Social Network Analysis of Articles on Social Network Analysis
• Detecting highly cyclic structure with complex eigenpairs
• Entropic Spectral Learning for Large-Scale Graphs
• Revisiting Spectral Graph Clustering with Generative Community Models
• All Polarized but Still Different: a Multi-factorial Metric to Discriminate between Polarization Behaviors on Social Media
• Refining bridge-block decompositions through two-stage and recursive tree partitioning
• Stability of Maximum likelihood based clustering methods: exploring the backbone of classifications (Who is keeping you in that community?)
• Publishing patterns reflect political polarization in news media
• Outlier Edge Detection Using Random Graph Generation Models and Applications
• Introduction to Graph Neural Networks for Machine Learning Engineers
• Exploring the Human Connectome Topology in Group Studies
• Fixed-Points of Social Choice: An Axiomatic Approach to Network Communities
• Riemannian-geometry-based modeling and clustering of network-wide non-stationary time series: The brain-network case
• Spatial Social Network (SSN) Hot Spot Detection: Scan Methods for Non-Planar Networks
• Hidden Community Detection in Social Networks
• Graph Clustering with Density-Cut
• RDSA: A Robust Deep Graph Clustering Framework via Dual Soft Assignment
• Testing Changes in Communities for the Stochastic Block Model
• Modules of human micro-RNA co-target network
• Locally Boosted Graph Aggregation for Community Detection
• Metrics for Community Analysis: A Survey
• Dynamic Silos: Increased Modularity in Intra-organizational Communication Networks during the Covid-19 Pandemic
• Ranking of Communities in Multiplex Spatiotemporal Models of Brain Dynamics
• A Feasible Graph Partition Framework for Random Walks Implemented by Parallel Computing in Big Graph
• Deep graph convolution neural network with non-negative matrix factorization for community discovery
• Characterization of the Community Structure of Large-Scale Functional Brain Networks During Ketamine-Medetomidine Anesthetic Induction
• Multiscale modeling of brain network organization
• A Boosting Approach to Learning Graph Representations
• A Dynamic Niche Model for the Emergence and Evolution of Mutualistic Network Structures
• Environmental versatility promotes modularity in genome-scale metabolic networks
• Sequential locality of graphs and its hypothesis testing
• Spectral embedding of regularized block models
• Network Distance Based on Laplacian Flows on Graphs
• Community Detection in Blockchain Social Networks
• Sedition Hunters: A Quantitative Study of the Crowdsourced Investigation into the 2021 U.S. Capitol Attack
• Early deafness leads to re-shaping of global functional connectivity beyond the auditory cortex
• Leveraging Sociological Models for Predictive Analytics
• How to Maximize the Spread of Social Influence: A Survey
• Ensemble-Based Discovery of Disjoint, Overlapping and Fuzzy Community Structures in Networks
• Network approach towards understanding the crazing in glassy amorphous polymers
• Hierarchical clustering of bipartite data sets based on the statistical significance of coincidences
• Network topology mapping of Chemical Compounds Space
• A multilevel clustering technique for community detection
• A modified Ricci flow on arbitrary weighted graph
• Vec2GC -- A Graph Based Clustering Method for Text Representations
• Multiscale Community Mining in Networks Using Spectral Graph Wavelets
• A generative model for community types in directed networks
• Fast and reliable inference algorithm for hierarchical stochastic block models
• Overcoming Bias in Community Detection Evaluation
• Unifying Modular and Core-Periphery Structure in Functional Brain Networks over Development
• Towards Semantic Noise Cleansing of Categorical Data based on Semantic Infusion
• Mining Essential Relationships under Multiplex Networks
• Fast Algorithms for Game-Theoretic Centrality Measures
• Modularity of the metabolic gene network as a prognostic biomarker for hepatocellular carcinoma
• A spectral graph theoretic study of predator-prey networks
• Community Detection by Principal Components Clustering Methods
• The way to uncover community structure with core and diversity
• The PageRank Problem, Multi-Agent Consensus and Web Aggregation -- A Systems and Control Viewpoint
• Maps of Computer Science
• Invertible generalized synchronization: A putative mechanism for implicit learning in biological and artificial neural systems
• Multi-View Community Detection in Facebook Public Pages
• Communicability Angle and the Spatial Efficiency of Networks
• A Social Network of Russian "Kompromat"
• Corrected Bayesian information criterion for stochastic block models
• Clique-based Method for Social Network Clustering
• Link Analysis for Communities Detection on Facebook
• Systematic assessment of the quality of fit of the stochastic block model for empirical networks
• Finding community structure using the ordered random graph model
• Multiple dynamical time-scales in networks with hierarchically nested modular organization
• MeetupNet Dublin: Discovering Communities in Dublin's Meetup Network
• Triangles as basis to detect communities: an application to Twitter's network
• The Wedge Picking Model: A dynamic graph model based on triadic closure
• Robust spectral clustering using LASSO regularization
• Representing Multi-Robot Structure through Multimodal Graph Embedding for the Selection of Robot Teams
• Clustering evolving data using kernel-based methods
• Learning Features of Network Structures Using Graphlets
• Combining Random Walks and Nonparametric Bayesian Topic Model for Community Detection
• Mechanisms for Network Growth that Preserve Spectral and Local Structure
• Controlled Label Propagation: Preventing Over-Propagation through Gradual Expansion
• Krylov Subspace Approximation for Local Community Detection in Large Networks
• Phase Transitions in Spectral Community Detection of Large Noisy Networks
• A New Analysis Method for Simulations Using Node Categorizations
• Altered connectedness of the brain chronnectome during the progression of Alzheimer's disease
• Learning an Integrated Distance Metric for Comparing Structure of Complex Networks
• Impact of Community Structure on Consensus Machine Learning
• Cooperation on Social Networks and Its Robustness
• Enumeration of Autocatalytic Subsystems in Large Chemical Reaction Networks
• Reinforced communication and social navigation: remember your friends and remember yourself
• Network maps of student work with physics, other sciences, and math in an integrated science course
• Network connectivity optimization: An evaluation of heuristics applied to complex networks and a transportation case study
• Community detection robustness of graph neural networks
• The Automatic Quasi-clique Merger algorithm (AQCM)
• Spectral community detection in heterogeneous large networks
• Web Analytics for Security Informatics
• Streaming Local Community Detection through Approximate Conductance
• Indirect Influences, Links Ranking, and Deconstruction of Networks
• Towards Modularity Optimization Using Reinforcement Learning to Community Detection in Dynamic Social Networks
• Neuromorphic Networks as Revealed by Features Similarity
• Discovering the Network Backbone from Traffic Activity Data
• Emergence of network communities driven by local rules
• Metastability, atmospheric midlatitude circulation regimes and large-scale teleconnection: a data-driven approach
• On the use of graph theory to interpret the output results from a Monte-Carlo depletion code
• Opinion Dynamics with Decaying Confidence: Application to Community Detection in Graphs
• Evolutionary Multi Objective Optimization Algorithm for Community Detection in Complex Social Networks
• Deep learning tackles single-cell analysis A survey of deep learning for scRNA-seq analysis
• Outlier Cluster Formation in Spectral Clustering
• Altered Modularity and Disproportional Integration in Functional Networks are Markers of Abnormal Brain Organization in Schizophrenia
• Computing an Aggregate Edge-Weight Function for Clustering Graphs with Multiple Edge Types
• Summarizing graphs using the configuration model
• Interactive Overlays: A New Method for Generating Global Journal Maps from Web-of-Science Data
• Insights into the Structured Coordination Game with Neutral Options through Simulation
• Network as a computer: ranking paths to find flows
• An Empirical Study of Compression-friendly Community Detection Methods
• Dynamics of large scale networks following a merger
• A new generalization of edge overlap to weighted networks
• A Study of the Spatio-Temporal Correlations in Mobile Calls Networks
• A Maximum Entropy approach to Massive Graph Spectra
• Evaluating the Vulnerability of Communities in Social Networks by Gravity Model
• Analysis of Social Voting Patterns on Digg
• Tweeting Over The Border: An Empirical Study of Transnational Migration in San Diego and Tijuana
• Impact of independence on polarization of opinions
• Spectral Multi-scale Community Detection in Temporal Networks with an Application
• Spectral clustering of annotated graphs using a factor graph representation
• Approximation Complexity of Max-Cut on Power Law Graphs
• Community Detection by a Riemannian Projected Proximal Gradient Method
• Error-Correcting Decoders for Communities in Networks
• A game-theoretic analysis of DoS attacks on driverless vehicles
• On the use of local structural properties for improving the efficiency of hierarchical community detection methods
• Multi-team Formation using Community Based Approach in Real-World Networks
• An Efficient homophilic model and Algorithms for Community Detection using Nash Dynamics
• Understanding the Dynamics of DNNs Using Graph Modularity
• Guidelines for Experimental Algorithmics in Network Analysis
• Relations Between Adjacency and Modularity Graph Partitioning
• Clustering Network Tree Data From Respondent-driven sampling with application to opioid users in New York City
• A class of randomized Subset Selection Methods for large complex networks
• Brain-Network Clustering via Kernel-ARMA Modeling and the Grassmannian
• A Novel Clustering Approach Based on Group Quasi-Consensus of Unstable Dynamic Linear High-Order Multi-Agent Systems
• Clustering Degree-Corrected Stochastic Block Model with Outliers
• A new nature inspired modularity function adapted for unsupervised learning involving spatially embedded networks: A comparative analysis
• Background to Higgs-boson searches from internal conversions of off-shell photons associated with $Z/{\gamma }^{\ast }$-boson production at the LHC
• Metanetworks of artificially evolved regulatory networks
• Manifold learning for brain connectivity
• Learning Bundled Care Opportunities from Electronic Medical Records
• The interdependency structure in the Mexican stock exchange: A network approach
• Tracing Topic Transitions with Temporal Graph Clusters
• Developmental tendencies in the Academic Field of Intellectual Property through the Identification of Invisible Colleges
• Name Disambiguation from link data in a collaboration graph using temporal and topological features
• Graph Metrics for Internet Robustness -- A Survey
• Community Detection by $L_0$-penalized Graph Laplacian
• A fast clustering algorithm for mining social network data
• Network Controllability in the IFG Relates to Controlled Language Variability and Susceptibility to TMS
• Spatially-constrained clustering of ecological networks
• How Information Diffuse in a Nomination Network
• Utility Rate Equations of Group Population Dynamics in Biological and Social Systems
• Three faces of metabolites: Pathways, localizations and network positions
• Inferring Multilateral Relations from Dynamic Pairwise Interactions
• Improved Optimal and Approximate Power Graph Compression for Clearer Visualisation of Dense Graphs
• A Compressive Sensing Approach to Community Detection with Applications
• A Mixed-Membership Model for Social Network Clustering
• Zombie Account Detection Based on Community Detection and Uneven Assignation PageRank
• A Bayesian State-Space Approach to Mapping Directional Brain Networks
• A Sketch Based Game Theoretic Approach to Detect Anomalous Dense Sub-Communities in Large Data Streams
• Exploring and comparing temporal clustering methods
• Measuring edge importance: a quantitative analysis of the stochastic shielding approximation for random processes on graphs
• From Community Detection to Community Deception
• Differentially Categorized Structural Connectome Hubs are Involved in Differential Microstructural Basis and Functional Implications and Contribute to Individual Identification
• Identifying Community Structures in Dynamic Networks
• Toward Edge-Centric Network Embeddings
• Contributions to Representation Learning with Graph Autoencoders and Applications to Music Recommendation
• The efficiency of community detection by most similar node pairs
• Exact statistical mechanics of the Ising model on networks
• On Topological Structure of Web Services Networks for Composition
• Community Structure in Interaction Web Service Networks
• Network Community Detection with A Successive Spectral Relaxation Method
• SDP: Scalable Real-time Dynamic Graph Partitioner
• Forward Backward Similarity Search in Knowledge Networks
• CIIA:A New Algorithm for Community Detection
• The emergence of pseudo-stable states in network dynamics
• Inference of higher order substitution dynamics by Markov chain lumping
• Correlation Analysis of Nodes Identifies Real Communities in Networks
• From Cities to Series: Complex Networks and Deep Learning for Improved Spatial and Temporal Analytics*
• Ground state energy of $q$-state Potts model: the minimum modularity
• Testing Alignment of Node Attributes with Network Structure Through Label Propagation
• Functional switching among dynamic neuronal hub-nodes in the brain induces transition of cognitive states
• Identifying Illicit Drug Dealers on Instagram with Large-scale Multimodal Data Fusion
• BigGraphVis: Leveraging Streaming Algorithms and GPU Acceleration for Visualizing Big Graphs
• Observation of complex functional cortical patterns in brain cognition
• Emergence of communities on a coevolutive model of wealth interchange
• Node, Node-Link, and Node-Link-Group Diagrams: An Evaluation
• Team dynamics during the delivery of a large-scale, engineered system
• Searching for network modules
• Model Selection in Overlapping Stochastic Block Models
• Global Network Prediction from Local Node Dynamics
• FI-GRL: Fast Inductive Graph Representation Learning via Projection-Cost Preservation
• Densest Subgraph in Streaming and MapReduce
• Logistic Regression Augmented Community Detection for Network Data with Application in Identifying Autism-Related Gene Pathways
• Impact of Dynamic Interactions on Multi-Scale Analysis of Community Structure in Networks
• Frustration of signed networks: How does it affect the thermodynamic properties of a system?
• Overlapping community detection in weighted networks
• Continuous-time random walk model of relaxation of two-state systems
• A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
• Knowledge discovery via multidimensional science maps: the case of the Species Problem
• Overlapping Communities in Complex Networks
• Network Abstractions of Prescription Patterns in a Medicaid Population
• One Node at a Time: Node-Level Network Classification
• Understanding Vulnerability of Communities in Complex Networks
• Reconstruction in the Labeled Stochastic Block Model
• Effect of Perturbation and Topological Structure on Synchronization Dynamics in Multilayer Networks
• Social Influence and Radicalization: A Social Data Analytics Study
• Strategic forecasting of internet of things technologies through patent social network and innovation cluster analysis
• Gumbel-softmax Optimization: A Simple General Framework for Combinatorial Optimization Problems on Graphs
• The Concentration and Stability of the Community Detecting Functions on Random Networks
• Scalable Deep Metric Learning on Attributed Graphs
• Bayesian Modeling of Random Walker for Community Detection in Networks
• Hyperbolic Multiplex Network Embedding with Maps of Random Walk
• Sparse Nonnegative Matrix Factorization for Multiple Local Community Detection
• Quantifying the uneven efficiency benefits of ridesharing market integration
• Detectability threshold in weighted modular networks
• MGA: Momentum Gradient Attack on Network
• Non-backtracking walks reveal compartments in sparse chromatin interaction networks
• Fragility of spectral clustering for networks with an overlapping structure
• Novel Edge and Density Metrics for Link Cohesion
• Application of discrete Ricci curvature in pruning randomly wired neural networks: A case study with chest x-ray classification of COVID-19
• Early Warning Analysis for Social Diffusion Events
• Leaders, Followers, and Community Detection
• Assessing imbalance in signed brain networks
• Hypothesis testing for community structure in temporal networks using e-values
• A High-Performance Evolutionary Multiobjective Community Detection Algorithm
• On $r$-to-$p$ norms of random matrices with nonnegative entries: Asymptotic normality and ${\ell }_{\infty }$-bounds for the maximizer
• Localized geometry detection in scale-free random graphs
• CALF-SBM: A Covariate-Assisted Latent Factor Stochastic Block Model
• Block-corrected Modularity for Community Detection
• Quantum community detection via deterministic elimination
• Conan: a platform for complex network analysis
• Mixed membership estimation for categorical data with weighted responses
• Bio-inspired Methods for Dynamic Network Analysis in Science Mapping