The Structure and Function of Complex Networks

2003/01/01 by M. E. J. Newman, Michael Newman · 1 voice · 18,828 citations
Decision Sciences · Mathematics · Physics and Astronomy · #Artificial intelligence #Biological network #Cluster analysis #Clustering coefficient #Complex Network Analysis Techniques #Complex network #Computer science #Data science #Degree distribution #Evolving networks #Field (mathematics) #Game Theory and Applications #Graph #Mathematics #Network formation #Network science #Opinion Dynamics and Social Influence #Preferential attachment #Random graph #Small-world network #The Internet #Theoretical computer science #Variety (cybernetics) #World Wide Web #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1137/s003614450342480

published in SIAM Review 45(2), 167-256 (Society for Industrial and Applied Mathematics) · Review article, 58 pages, 16 figures, 3 tables, 429 references, published in SIAM Review (2003)

openalex publication_date 2003/01/01 · arxiv created 2003/03/25 · arxiv published 2003/03/25 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Inspired by empirical studies of networked systems such as the Internet, social networks, and bio-logical networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior of these systems. Here we review developments in this field, including such concepts as the small-world eect, degree distributions, clustering, network correlations, random graph models, models of network growth and preferential attachment, and dynamical processes taking place on networks.

Citations

• Networks, Dynamics, and the Small‐World Phenomenon
• Robust Action and the Rise of the Medici, 1400-1434
• Power and Centrality: A Family of Measures
• Evolution of networks
• Authoritative sources in a hyperlinked environment
• The Mathematics of Infectious Diseases
• A principle of natural self-organization

Cited by

• Street Network Models and Indicators for Every Urban Area in the World
• Cross-feeding creates tipping points in microbiome diversity
• State of the aRt personality research: A tutorial on network analysis of personality data in R
• Using multiplex networks to capture the multidimensional nature of social structure
• Weight geometry governs functional memory in complex systems
• Evolution of cooperation with temporal information
• Enhancing bikeshare systems with e-bikes in semi-hilly Cities: Insights from Washington D.C
• Latent geometry emerging from network-driven processes
• Algebraic relationships and centrality measures in citation graphs
• Dilution of Ferromagnets via a Random Graph-based Strategy
• Machine learning, phase stability, and disorder with the Automatic Flow Framework for Materials Discovery
• High Performance Algorithms for Quantum Gravity and Cosmology
• Searching for network modules
• Study Of The Fundamental Physical Principles in Atmospheric Modeling Based On Identification Of Atmosphere - Climate Control Factors: Bromine Explosion At The Polar Arctic Sunrise
• Community Structure in Jazz
• Organisational Social Influence on Directed Hierarchical Graphs, from Tyranny to Anarchy
• Analysis of Coauthorship Network in Political Science using Centrality Measures
• Uncertainty quantification in the Bradley-Terry-Luce model
• Adaptive directional Haar tight framelets on bounded domains for digraph signal representations
• Handbook of Network Analysis [KONECT -- the Koblenz Network Collection]
• Mechanisms for Network Growth that Preserve Spectral and Local Structure
• Facility Location in Evolving Metrics
• Phase changes in delay propagation networks
• Tomography of random social networks
• Wikipedia: organisation from a bottom-up approach
• Inferring R₀ in emerging epidemics - the effect of common population structure is small
• Communicating and resolving entity references
• An introduction to generative network models and their use in animal sociality research
• A Novel Methodologyof Router-To-ASMapping inspired by Community Discovery
• Discrimination universally determines reconstruction of multiplex networks
• Estimating the dynamics of kernel-based evolving networks
• Growth strategy determines network performance
• On Counting Triangles through Edge Sampling in Large Dynamic Graphs
• Ricci Curvature of the Internet Topology
• Modular structure in labour networks reveals skill basins
• The Network of Mexican Cities
• Community Detection in Weighted Multilayer Networks with Ambient Noise
• The Atlas for the Aspiring Network Scientist
• Effectively Counting s-t Simple Paths in Directed Graphs
• On Topological Structure of Web Services Networks for Composition
• Data mining when each data point is a network
• Beyond Content: How Author Network Centrality Drives Citation Disparities in Top AI Conferences
• The Social Network of Contemporary Popular Musicians
• Epidemic Waves, Small Worlds and Targeted Vaccination
• Random Spatial Networks: Small Worlds without Clustering, Traveling Waves, and Hop-and-Spread Disease Dynamics
• /UnmuteAll: Modeling Verbal Communication Patterns of Collaborative Contexts in MOBA Games
• A Mathematical Framework for Misinformation Propagation in Complex Networks: Topology-Dependent Distortion and Control
• Transitivity in International Trade: Evidence from Colombia-U.S. Firm Relationships
• Who Connects Global Aid? The Hidden Geometry of 10 Million Transactions
• Cooperation on Social Networks and Its Robustness
• Dynamic Homophily with Imperfect Recall: Modeling Resilience in Adversarial Networks
• Two-Phase Flow Complexity in Heterogeneous Media
• Counting triangles, tunable clustering and the small-world property in random key graphs (Extended version)
• Mal-Netminer: Malware Classification Approach based on Social Network Analysis of System Call Graph
• Evaluation of Risk and Resilience of the MBTA Green Rapid Transit System
• SNAP: A General Purpose Network Analysis and Graph Mining Library
• Limits of multiplicative inhomogeneous random graphs and Lévy trees: Limit theorems
• The multiplicative coalescent, inhomogeneous continuum random trees, and new universality classes for critical random graphs
• Variational Physics-Informed Ansatz for Reconstructing Hidden Interaction Networks from Steady States
• PETGraphDB: A Property Evolution Temporal Graph Data Management System
• Bypassing Skip-Gram Negative Sampling: Dimension Regularization as a More Efficient Alternative for Graph Embeddings
• Dynamic Network of Concepts from Web-Publications
• On the diameter of random uniform hypergraphs in dense regime
• On-off Threshold Models of Social Contagion
• Exploring and comparing temporal clustering methods
• Embedding networks with the random walk first return time distribution
• Community Detection in Complex Networks Using Agents
• Evaluating Global Measures of Network Centralization: Axiomatic and Numerical Assessments
• A statistical network analysis of the HIV/AIDS epidemics in Cuba
• Homophily and Triadic Closure in Evolving Social Networks
• Using network science to analyze concept maps of psychology undergraduates
• A Fast Binary Splitting Approach for Non-Adaptive Learning of Erdős--Rényi Graphs
• Networks beyond pairwise interactions: structure and dynamics
• Overcoming Language Variation in Sentiment Analysis with Social Attention
• On the Robustness of Uncertain Consensus Networks
• The Eigenvalue Distribution of the Watt-Strogatz Random Graph
• Applying Social Network Analysis to Analyze a Web-Based Community
• Levy random walks on multiplex networks
• How to Count Triangles, without Seeing the Whole Graph
• Diffusion Signals Reveal Hidden Connections: A Physics-Inspired Framework for Link Prediction via Personalized PageRank Signals
• Penalized composite likelihood for colored graphical Gaussian models
• ACGraph: An Efficient Asynchronous Out-of-Core Graph Processing Framework
• EmptyHeaded: A Relational Engine for Graph Processing
• Cumulative Advantage as a Mechanism for Inequality: A Review of Theoretical and Empirical Developments
• The cause of universality in growth fluctuations
• NEFI: Network Extraction From Images
• Network analysis of Japanese global business using quasi-exhaustive micro-data for Japanese overseas subsidiaries
• Multiple complex networks emerging from individual interactions
• Statistical Physics Approaches to Seismicity
• Hyperbolic Deep Neural Networks: A Survey
• Design of Efficient Sampling Methods on Hybrid Social-Affiliation Networks
• Network Entropy Based on Topology Configuration and Its Computation to Random Networks
• From Market Saturation to Social Reinforcement: Understanding the Impact of Non-Linearity in Information Diffusion Models
• Epidemic thresholds in directed complex networks
• Macroinvertebrate diversity in headwater streams: a review
• PI^hD^n-1 synchronization of higher-order nonlinear systems with a recursive Lyapunov approach
• Two social communities in the Pearl River Estuary population of Indo-Pacific humpback dolphins (Sousa chinensis)
• Mining Essential Relationships under Multiplex Networks
• Learning Class-Level Bayes Nets for Relational Data
• Transitivity Correlation: Measuring Network Transitivity as Comparative Quantity
• Stability of persistent path homology of path complexes
• On Weisfeiler-Leman Invariance: Subgraph Counts and Related Graph Properties
• The dynamics of animal social networks: analytical, conceptual, and theoretical advances
• Statistical learning of temporal community structure in the hippocampus
• Estimating time-varying brain connectivity networks from functional MRI time series
• Introduction to statistical inference for infectious diseases
• Statistical Models for Degree Distributions of Networks
• Small world is not enough: Criteria for network choice and\n conclusiveness of simulations
• Preferential Attachment in Online Networks: Measurement and Explanations
• Identification of Community Structures in Networks Employing a Modified Divisive Algorithm
• Statistical analysis of weighted networks
• Communicability Angle and the Spatial Efficiency of Networks
• Social contagion theory: examining dynamic social networks and human behavior
• Geometric detection of coupling directions by means of inter-system recurrence networks
• Exploring social structure effect on language evolution based on a computational model
• Statistical physics of social dynamics
• Utilising multi-modal data-driven network analysis to identify monotherapy and combinational therapy targets in SOX2-dependent squamous cell lung cancer
• Clustering compresses attractors in Watts–Strogatz threshold Boolean networks
• An efficient parallel block coordinate descent algorithm for large-scale precision matrix estimation using graphics processing units
• USING NETWORK CENTRALITY MEASURES TO MANAGE LANDSCAPE CONNECTIVITY
• On the Importance of Hubs in Hopfield Complex Neuronal Networks under Attack
• When one protocol fits none: Self-organized network routing through evolutionary game dynamics
• Trading off Accuracy for Speedup: Multiplier Bootstraps for Subgraph Counts
• Catastrophic cascade of failures in interdependent networks
• Efficient local strategies for vaccination and network attack
• Supply Network Structure, Visibility, and Risk Diffusion: A Computational Approach
• The structure and dynamics of networks with higher order interactions
• Distances in random graphs with finite variance degrees
• Extended corona product as an exactly tractable model for weighted heterogeneous networks
• Cost-volume relationships for flows through a disordered network
• Partial Correlation Estimation by Joint Sparse Regression Models
• Multiple weak hits confuse complex systems: A transcriptional regulatory network as an example
• Science Mapping to study academic knowledge circulation
• Distances in random graphs with infinite mean degrees
• Recovery of Interdependent Networks
• Sampling animal association networks with the gambit of the group
• Mean First Hitting Time of Searching for Path Through Random Walks on Complex Networks
• Evaluation of Florida’s Medicaid managed mental health plans: Mail survey component
• Unsupervised Graph Representation by Periphery and Hierarchical Information Maximization
• The influence of the network topology on the agility of a supply chain
• Interaction between cluster synchronization and epidemic spread in community networks
• Larger holes as narrower degree distributions in complex networks
• Growth of preferential attachment random graphs via continuous-time branching processes
• Generative Correlation Manifolds: Generating Synthetic Data with Preserved Higher-Order Correlations
• Modeling the synergistic relation between social learning and sustainable behaviors in the Italian city of Siena
• When Your AI Agent Succumbs to Peer-Pressure: Studying Opinion-Change Dynamics of LLMs
• Superelliptical laws for complex networks
• Evolution of recursive trees with limited memory
• Network-informed analysis of a multivariate trait-space reveals optimal trait selection
• Diversity, connectivity and negative interactions define robust microbiome networks across land, stream, and sea
• Asymptotic distribution of the global clustering coefficient in a random annulus graph
• Hypothesis testing for the uniformity of random geometric graph
• Strong Consistency, Graph Laplacians, and the Stochastic Block Model
• Worker connectivity: a review of the design of worker communication systems and their effects on task performance in insect societies
• Hypothesis testing for the dimension of random geometric graph
• Parametric Sensitivity Analysis: Local and Global Approaches in Stochastic Biochemical Models
• Dependence of the average to-node distance on the node degree for random graphs and growing networks
• Characterization of Large-Scale Functional Brain Networks During\n Ketamine-Medetomidine Anesthetic Induction
• Impact of network structure on the capacity of wireless multihop ad hoc communication
• Large Network Generator: a simple, efficient, and flexible graph formation algorithm
• On the Degree Distribution of Faulty Peer-to-Peer Overlays
• Hybrid Quantum-Classical Walks for Graph Representation Learning in Community Detection
• Provable Security of Networks
• Limited communication capacity unveils strategies for human interaction
• Grouping Entities in a Fleet by Community Detection in Network of\n Regression Models
• Arbitrary degree distribution and high clustering in networks of locally interacting agents
• Cored product codes for quantum self-correction in three dimensions
• Dynamics on networks. Case of Heterogeneous Opinion Status Model
• Functional Connectivity Networks for Transportation Delay Analysis: from Theory to Software
• Homophily-induced Emergence of Biased Structures in LLM-based Multi-Agent AI Systems
• Goldfish growth inhibition and gut microbial community shift induced by exposure to carboxylated multi-walled carbon nanotubes
• Network thinking in ecology and evolution
• Motivic clustering schemes for directed graphs
• Network entropy as a key to the past: A quantitative approach to complex social networks
• A generative model for non-assortative communities in directed networks
• Robustness of Link-prediction Algorithm Based on Similarity and Application to Biological Networks
• A Brief Review of SIAM Review
• Graph theory—Recent developments of its application in geomorphology
• Dendrochronological Provenance Patterns. Network Analysis of Tree-Ring Material Reveals Spatial and Economic Relations of Roman Timber in the Continental North-Western Provinces
• The social and structural architecture of the yeast protein interactome
• Parallel Triangle Counting in Massive Streaming Graphs
• RL Squeezes, SFT Expands: A Comparative Study of Reasoning LLMs
• Recommendation systems in the scope of opinion formation: a model
• A complex network approach to robustness and vulnerability of spatially organized water distribution networks
• Train Small, Deploy Large: Zero-Shot GNN Transfer Through Geometric Renormalization
• The effect of disorder on the hierarchical modularity in complex systems
• Adaptive Push-Then-Pull Gossip Algorithm for Scale-free Networks
• ON THE INITIAL VALUE OF PAGERANK
• Emergence of power-law statistics in the co-authorship networks of Philippine physics researchers
• The Power Grid as a Complex Network: a Survey
• Inequality and Inequity in Network-based Ranking and Recommendation Algorithms
• A new algorithm for extracting a small representative subgraph from a very large graph
• Structural network measures reveal the emergence of heavy-tailed degree distributions in lottery ticket multilayer perceptrons
• Networks with Many Structural Scales: A Renormalization Group Perspective
• Machine learning approach to detect dynamical states from recurrence measures
• Modeling Heterogeneity in Networks using Uncertainty Quantification Tools
• Node-weighted recurrence analysis for path dynamics on networks
• Representation of functions on big data associated with directed graphs
• Email as Spectroscopy: Automated Discovery of Community Structure within\n Organizations
• Phase Synchronization on Spacially Embeded Duplex Networks with Total Cost Constraint
• The Design of Life: Information Technology, "Knapsack" and "Synprops" Used to Engineer the Sequence of Amino Acid Residues in Proteins
• Time Is of the Essence: Analyzing the Effect of Vertex-Joining Time on Complex Network Evolution
• Stochastic blockmodels for exchangeable collections of networks
• Bunching of extreme events on complex network
• Graph entropy, degree assortativity, and hierarchical structures in networks
• Structural Analysis of Viral Spreading Processes in Social and\n Communication Networks Using Egonets
• Mandala Networks: ultra-robust, ultra-small-world and highly sparse graphs
• The temporal dynamics of group interactions in higher-order social networks
• The connectivity-profile of random increasing k-trees
• Complex Networks on a Rock Joint
• Trace Complexity of Network Inference
• Evolutionary games on graphs
• Introduction to Focus Issue: Complex network perspectives on flow systems
• Hidden Community Detection in Social Networks
• Anonymity in the Wild: Mixes on unstructured networks
• How Do Networks Become Navigable?
• Layer aggregation and reducibility of multilayer interconnected networks
• Agglomeration based influential node ranking in path-type networks
• Filter Design for Autoregressive Moving Average Graph Filters
• Using utility graphs to search for Pareto-optimal outcomes in complex, interdependent issue negotiations
• Same Stats, Different Graphs (Graph Statistics and Why We Need Graph Drawings)
• Structure and time evolution of an Internet dating community
• Pinning Complex Networks by a Single Controller
• Interlayer link prediction in multiplex social networks: an iterative degree penalty algorithm
• Effect of higher-order interactions on tipping cascades on complex networks
• A General Framework for Complex Network Applications
• Scale-free tree network with an ultra-large diameter
• Equipping SBMs with RBMs: An Explainable Approach for Analysis of Networks with Covariates
• Online Myopic Network Covering
• Global clustering coefficient in scale-free weighted and unweighted networks
• A mean-field analysis of community structure in social and kin networks
• Probability-graphons: Limits of large dense weighted graphs
• Privacy in Social Media: Identification, Mitigation and Applications
• Degree-degree dependencies in directed networks with heavy-tailed degrees
• A Tractable Complex Network Model based on the Stochastic Mean-field Model of Distance
• Optimal Paths in Disordered Complex Networks
• AVERAGE DISTANCE IN GROWING TREES
• Memory effect in growing trees
• A framework for statistical network modeling
• FAQ: Questions Asked Frequently
• Connection probability for random graphs with given degree sequence
• On clustering network-valued data
• DTC: Real-Time and Accurate Distributed Triangle Counting in Fully Dynamic Graph Streams
• Sign Stability via Root Locus Analysis
• From gene regulatory networks to social networks: integrative sociogenomics from single cell to superorganism
• Learning Asynchronous-Time Information Diffusion Models and its Application to Behavioral Data Analysis over Social Networks
• The Small-World Beneath LEO Satellite Coverage: Ground Hubs in Multi-Shell Constellations
• The Degree Distribution of Random Birth-and-Death Network with Network Size Decline
• An introduction to exponential random graph (p*) models for social networks
• Evolving functional network properties and synchronizability during human epileptic seizures
• Pulse-coupled model of excitable elements on heterogeneous sparse networks
• Subgraphs and motifs in a dynamic airline network
• The Function of Communities in Protein Interaction Networks at Multiple Scales
• Synchronization Dynamics of Heterogeneous, Collaborative Multi-Agent AI Systems
• Edge Flows in the Complete Random-Lengths Network
• A Simple Hydromechanical Modeling of Carbon Sequestration in Sedimentary Rocks
• Properties of Latent Variable Network Models
• Evaluating the performance of geographical locations in scientific networks with an aggregation - randomization - re-sampling approach (ARR)
• Network topology transition at criticality
• A study of the edge-switching Markov-chain method for the generation of random graphs
• Limit of trees with fixed degree sequence
• The structure and dynamics of multilayer networks
• GRAVITY: A Controversial Graph Representation Learning for Vertex Classification
• Distributive routing and congestion control in wireless multihop ad hoc communication networks
• Two-population SIR model and strategies to reduce mortality in pandemics
• Discriminative Distance-Based Network Indices with Application to Link Prediction
• Graphite: Iterative Generative Modeling of Graphs
• A New Framework for Network Disruption
• Modeling revolutions in networked societies: learning from the Tunisian spring
• Complexity Analysis of Unsaturated Flow in Heterogeneous Media Using a Complex Network Approach
• Scenario-aware control of multipathway spread processes: Application to biological invasions
• Early insight into social network structure predicts climbing the social ladder
• Adaptive Coevolutionary Networks: A Review
• Bayesian learning of forest and tree graphical models
• The Vertex-Attribute-Constrained Densest k-Subgraph Problem
• Task complexity shapes internal representations and robustness in neural networks
• Cascade Control and Defense in Complex Networks
• Finding Core Balanced Modules in Statistically Validated Stock Networks
• Self-similar planar graphs as models for complex networks
• Complex network classification using partially self-avoiding\n deterministic walks
• Scale-free percolation in continuum space: quenched degree and clustering coefficient
• Evolution of Social Networks: A Microfounded Model
• Convex Optimization Learning of Faithful Euclidean Distance Representations in Nonlinear Dimensionality Reduction
• Social insect colony as a biological regulatory system: Information flow in dominance networks
• Epidemic spreading with immunization rate on complex networks
• User-Relatedness and Community Structure in Social Interaction Networks
• Cost and Effects of Pinning Control for Network Synchronization
• Preventive and Reactive Cyber Defense Dynamics Is Globally Stable
• Characterizing the Diversity of Dynamics in Complex Networks Without Border Effects
• CoCoS: Fast and Accurate Distributed Triangle Counting in Graph Streams
• The NOESIS Network-Oriented Exploration, Simulation, and Induction System
• Towards Tight Bounds for Estimating Degree Distribution in Streaming and Query Models
• Functional Hubs in Mild Cognitive Impairment
• Mathematical models for epidemic spreading on complex networks
• Continuum limit of critical inhomogeneous random graphs
• TIMEST: Temporal Information Motif Estimator Using Sampling Trees
• Parcellation‐dependent small‐world brain functional networks: A resting‐state fMRI study
• A betweenness structure entropy of complex networks
• Generating Scale-free Networks with Adjustable Clustering Coefficient Via Random Walks
• Detecting highly cyclic structure with complex eigenpairs
• Local Optima Networks of NK Landscapes with Neutrality
• Networking the seceder model: Group formation in social and economic systems
• Long paths in first passage percolation on the complete graph II. Global branching dynamics
• On the scale-free nature of RNA secondary structure networks
• Approximate Triangle Counting
• Modular Networks for Validating Community Detection Algorithms
• Modeling and Analysis of Tagging Networks in Stack Exchange Communities
• A Model for Information Networks: Efficiency, Stability and Dynamics
• Coevolution of Cooperation and Partner Rewiring Range in Spatial Social Networks
• Cliques and a new measure of clustering: with application to U.S. domestic airlines
• Community structures in simplicial complexes: an application to wildlife corridor designing in Central India -- Eastern Ghats landscape complex, India
• Efficient Network Generation Under General Preferential Attachment
• A Tensor-Based Framework for Studying Eigenvector Multicentrality in Multilayer Networks
• Computational Human Dynamics
• Symptoms of complexity in a tourism system
• Extracting Hidden Groups and their Structure from Streaming Interaction Data
• The Origin of Self-Attention: Pairwise Affinity Matrices in Feature Selection and the Emergence of Self-Attention
• A Method for Group Extraction and Analysis in Multilayer Social Networks
• Network Reconstruction and Controlling Based on Structural Regularity Analysis
• A nonlocal model of epidemic network with nonlimited transmission: Global existence and uniqueness
• A complex network approach to time series analysis with application in diagnosis of neuromuscular disorders
• A statistical mechanics approach to Granovetter theory
• Vital Spreaders Identification in Complex Networks with Multi-Local Dimension
• Link-Space and Network Analysis
• Rediscovering the Co-occurrence Principles of Vowel Inventories: A Complex Network Approach
• On The Modified Newman-Watts Small World and Its Random Walk
• Tsallis entropy of complex networks
• A modified gravity model based on network efficiency for vital nodes identification in complex networks
• Incremental Learning with Accuracy Prediction of Social and Individual Properties from Mobile-Phone Data
• Meet me in the middle: The reunification of Germany's research network
• Catching the head, tail, and everything in between: a streaming algorithm for the degree distribution
• Characterizing Individual Communication Patterns
• Network Subgraphs of the heterogeneous Chinese credit system
• First passage percolation on random graphs with infinite variance degrees
• A Survey of Heterogeneous Information Network Analysis
• Towards a Theory of Scale-Free Graphs: Definition, Properties, and Implications (Extended Version)
• Quantification of De-anonymization Risks in Social Networks
• Potential energy of complex networks: a novel perspective
• Markov-Binary Visibility Graph: a new method for analyzing Complex Systems
• A survey of heterogeneous information network analysis
• The Scaling laws of Spatial Structure in Social Networks
• Optimal high-level descriptions of dynamical systems
• Epidemic and Cascading Survivability of Complex Networks
• Maximizing Entropy Yields Spatial Scaling in Social Networks
• Network Motifs Analysis of Croatian Literature
• Dynamics of information diffusion and its applications on complex networks
• Dynamics of temporal influence in polarised networks
• Information Propagation in Clustered Multilayer Networks
• Robustness and Directed Structures in Ecological Flow Networks
• Quantifying Dismantlement in Disconnected Networks
• How to become a superhero
• Complex networks and human language
• A logic for networks
• Random Overlapping Communities: Approximating Motif Densities of Large Graphs
• Structure and Dynamic of Global Population Migration Network
• Structure versus function: a topological perspective on immune networks
• Coevolutionary games - a mini review
• Evolutionary dynamics of group interactions on structured populations: A review
• Estimating the Degree Centrality Ranking of a Node
• The Matthew effect in empirical data
• On Privacy of Socially Contagious Attributes
• Complex systems analysis of series of blackouts: Cascading failure, critical points, and self-organization
• Efficient presolving methods for the influence maximization problem
• Impact of Random Failures and Attacks on Poisson and Power-Law Random Networks
• Scatter Networks: A New Approach for Analyzing Information Scatter on the Web
• Navigation in non-uniform density social networks
• Modelling and prediction of financial trading networks: An application to the NYMEX natural gas futures market
• GraphZero: Breaking Symmetry for Efficient Graph Mining
• The Number of Spanning Trees in Apollonian Networks
• Two Phase Transitions for the Contact Process on Small Worlds
• Phase transition in the controllability of temporal networks
• A unified model for informetrics based on the wave and heat equations
• Package equivalence in complex software network
• Self-Repairing Peer-to-Peer Networks
• Universal self-similarity of hierarchical communities formed through a general self-organizing principle
• On the log-normality of the degree distribution in large homogeneous binary multiplicative attribute graph models
• Contact temporal network during motility induced phase separation
• Hypergraph-Based Models of Random Chemical Reaction Networks: Conservation Laws, Connectivity, and Percolation
• Exactly scale-free scale-free networks
• Differentially Private Relational Learning with Entity-level Privacy Guarantees
• A Game Generative Network Framework with its Application to Relationship Inference
• Spatio-Temporal Graphical Model Selection
• Orientation in Social Networks
• Communicability in complex brain networks
• Beyond Connectivity: Higher-Order Network Framework for Capturing Memory-Driven Mobility Dynamics
• Tradition and Innovation in Scientists' Research Strategies
• An SIR Graph Growth Model for the Epidemics of Communicable Diseases
• Maximum Leaf Spanning Trees of Growing Sierpinski Networks Models
• Human migration and the motion of substance in a channel of a network
• A Dynamical Systems Perspective on the Analysis of Neural Networks
• A universal assortativity measure for network analysis
• Early Warning Analysis for Social Diffusion Events
• Robust Hierarchical Graph Classification with Subgraph Attention
• In Response to COVID-19: Configuration Model of the Epidemic Spreading
• SIR epidemics on a scale-free spatial nested modular network with a non-trivial threshold
• On the Asymptotic Normality of Estimating the Affine Preferential Attachment Network Models with Random Initial Degrees
• Finding an individual's probability of infection in an SIR network is NP-hard
• Informal lending networks in rural Ethiopia
• Life, death and preferential attachment
• Graph Theory in Brain Networks
• Adaptive Similarity Function with Structural Features of Network Embedding for Missing Link Prediction
• Fast Decentralized Optimization over Networks
• Social Contagion Theory: Examining Dynamic Social Networks and Human Behavior
• Geographical threshold graphs with small-world and scale-free properties
• Network reachability of real-world contact sequences
• Growing network model for community with group structure
• Nonextensive analysis on the local structure entropy of complex networks
• Modeling Information Diffusion in Social Networks
• Testing the Quantitative Spacetime Hypothesis using Artificial Narrative Comprehension (I) : Bootstrapping Meaning from Episodic Narrative viewed as a Feature Landscape
• Structure and robustness of Sao Paulo public transport network
• The Connectivity of NK Landscapes' Basins: A Network Analysis
• Anonymizing Social Graphs via Uncertainty Semantics
• Flow Characteristics and Cores of Complex Network and Multiplex Type Systems
• Locally computable approximations for spectral clustering and absorption times of random walks
• Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation
• Inferring Metapopulation Propagation Network for Intra-city Epidemic Control and Prevention
• Where is AIED Headed? Key Topics and Emerging Frontiers (2020-2024)
• The Community Structure of Econophysicist Collaboration Networks
• A survey on Human Mobility and its applications
• A clusterability test for directed graphs
• Distributed k-Core Decomposition
• Asynchronous adaptive networks
• Hierarchical organization versus self-organization
• Ontology Neural Network and ORTSF: A Framework for Topological Reasoning and Delay-Robust Control
• Estimating and Sampling Graphs with Multidimensional Random Walks
• Network-based confidence scoring system for genome-scale metabolic reconstructions
• Dynamic Evolution of Complex Networks: A Reinforcement Learning Approach Applying Evolutionary Games to Community Structure
• HyColor: An Efficient Heuristic Algorithm for Graph Coloring
• Demographic and Structural Characteristics to Rationalize Link Formation in Online Social Networks
• Incomplete information in scale-free networks
• The Redundancy of Full Nodes in Bitcoin: A Network-Theoretic Demonstration of Miner-Centric Propagation Topologies
• Mobile Homophily and Social Location Prediction
• Learning hidden influences in large-scale dynamical social networks: A data-driven sparsity-based approach
• Estimation of Small s-t Reliabilities in Acyclic Networks
• Degree Distribution of Competition-Induced Preferential Attachment Graphs
• Evolution of scale-free random graphs: Potts model formulation
• Community Structure in Large Networks: Natural Cluster Sizes and the Absence of Large Well-Defined Clusters
• Graph Theory and Networks in Biology
• Coupled Ising models and interdependent discrete choices under social influence in homogeneous populations
• Statistical properties of telephone communication network
• Age-Dependent Assortativeness in Herpes Simplex Virus Type 1 Oral Transmission in the United States: A Mathematical Modeling Analysis
• The Past, Present, and Future of Artificial Life
• Large subgraphs in pseudo-random graphs
• On the Hyperbolicity of Large-Scale Networks
• Interplay between Network Topology and Dynamics in Neural Systems
• Dynamics of discrete opinions without compromise
• Recommending Given Names
• Modeling Network Evolution Using Graph Motifs
• Network Topology Inference Using Information Cascades with Limited Statistical Knowledge
• Analyzing Social Interaction Networks from Twitter for Planned Special Events
• The strategy of survival for a competition between normal and anomalous diffusion
• weg2vec: Event embedding for temporal networks
• Language Diversity across the Consonant Inventories: A Study in the Framework of Complex Networks
• Privacy-constrained network formation
• Achieving Small World Properties using Bio-Inspired Techniques in Wireless Networks
• Continuous Models of Epidemic Spreading in Heterogeneous Dynamically Changing Random Networks
• Theory of Interface: Category Theory, Directed Networks and Evolution of Biological Networks
• Parallel Heuristics for Scalable Community Detection
• A Real-Time Detecting Algorithm for Tracking Community Structure of Dynamic Networks
• Disentangling Complex Systems: IdopNetwork Meets GLMY Homology Theory
• A Survey on The Expressive Power of Graph Neural Networks
• On the expected number of real roots of random polynomials arising from evolutionary game theory
• Small disturbances can trigger cascading failures in power grids
• Some measure theory on stacks of graphs
• Random walks with resetting on hypergraph
• Mixing Time of Random Walk on Poisson Geometry Small World
• Modeling systemic risks in financial markets
• Synchronization of an evolving complex hyper-network
• Fast and Scalable Learning of Sparse Changes in High-Dimensional Gaussian Graphical Model Structure
• Shadow networks: Discovering hidden nodes with models of information flow
• Minimal models of weighted scale-free networks
• Fundamental limitations of network reconstruction
• Large-scale reverse engineering by the Lasso
• Recovery and Analysis of Architecture Descriptions using Centrality Measures
• Self-Coordinated Corona Graphs: a model for complex networks
• Exact Analysis of Synchronizability for Complex Networks using Regular Graphs
• General Tensor Spectral Co-clustering for Higher-Order Data
• Using complex networks and multiple artificial intelligence algorithms for table tennis match action recognition and technical-tactical analysis
• Fractal version of hyper-Wiener index
• Efficient Bayesian Community Detection using Non-negative Matrix Factorisation
• Size Dependent Growth in Metabolic Networks
• Differential Privacy for Network Assortativity
• Transport Network, Graph, and Air Pollution
• Networks and Cities: An Information Perspective
• Continuous spin models on annealed generalized random graphs
• Extracting dominant dynamics about unsteady base flows
• Rules, agents and order
• Phase transition in the two star Exponential Random Graph Model
• Investigating an online social network using spatial interaction models
• A contraction based, singular perturbation approach to near-decomposability in complex systems
• Boosting the Accuracy of Differentially-Private Histograms Through Consistency
• Self-organization of the Sound Inventories: Analysis and Synthesis of the Occurrence and Co-occurrence Networks of Consonants
• A Systematic Approach for Studying How Topological Measurements Respond to Complex Networks Modifications
• Analysis of the U.S. Patient Referral Network
• Emergent Opinion Dynamics on Endogenous Networks
• Estimating Network Parameters for Selecting Community Detection Algorithms
• Optimal Structure of Signal Networks for Efficient Information Aggregation
• Selective Harvesting over Networks
• The Directed Closure Process in Hybrid Social-Information Networks, with an Analysis of Link Formation on Twitter
• Randomness criteria in binary visibility graph perspective
• Emergence and Synchronization in Chaotic Oscillators and in the Human Cortical Network
• Social Network Dynamics in a Massive Online Game: Network Turnover, Non-densification, and Team Engagement in Halo Reach
• A Stochastic Model for the Evolution of the Web Allowing Link Deletion
• Robustness of Regular Graphs Based on Natural Connectivity
• Statistical inference for stochastic epidemic models with three levels of mixing
• Sandpile model on an optimized scale-free network on Euclidean space
• Efficient Detection of Hot Span in Information Diffusion from Observation
• Networks with degree-degree correlations is a special case of edge-coloured random graphs
• Analysis of structure and dynamics in three-neuron motifs
• System Theoretic Viewpoint on Modeling of Complex Systems: Design, Synthesis, Simulation, and Control
• Versatile Reservoir Computing for Heterogeneous Complex Networks
• The shortest path to complex networks
• Dynamic Graph Metrics: Tutorial, Toolbox, and Tale
• A Model for the Dynamics of Gene Networks
• Random Information Spread in Networks
• Trust transitivity in social networks
• A small world on feet of clay? A comparison of empirical small-world studies against best-practice criteria
• An Examination of the Topology and Measurement of the Alexithymia Construct Using Network Analysis
• A structured overview of 50 years of small-world research
• Approximating spatial distance through Confront networks: application to the segmentation of medieval Avignon
• Team Assembly Mechanisms Determine Collaboration Network Structure and Team Performance
• A Process for the Evaluation of Node Embedding Methods in the Context of Node Classification
• Three-state Majority-Vote Model on Barabási-Albert and Cubic Networks and the Unitary Relation for Critical Exponents
• Flux of information in scale-free networks
• Creative performance in professional advertising development: The role of ideation templates, consumer insight, and intrinsic motivation
• Robustness and stability of enterprise intranet social networks: The impact of moderators
• On disease and healing: a theoretical sketch
• Understanding underlying physical mechanism reveals early warning indicators and key elements for adaptive infections disease networks
• Graph fractal dimension and structure of fractal networks: a combinatorial perspective
• Piecewise-Velocity Model for Learning Continuous-time Dynamic Node Representations
• Analysis and Resilience of the U.S. Flight Network
• Percolation in clustered networks
• Remarks on Category-Based Routing in Social Networks
• Understanding Information Spreading in Social Media during Hurricane Sandy: User Activity and Network Properties
• Distributed Maximal Independent Set on Scale-Free Networks
• Independence number and the number of maximum independent sets in pseudofractal scale-free web and Sierpiński gasket
• Insights from exact social contagion dynamics on networks with higher-order structures
• Emergence of Network Structure in Models of Collective Evolution and Evolutionary Dynamics
• Mixing time of exponential random graphs
• Relative Canonical Network Ensembles -- (Mis)characterizing Small-World Networks
• Community detection in graphs
• Network Inference from Population-Level Observation of Epidemics
• Link Biased Strategies in Network Formation Games
• Analysis of scale-free networks based on a threshold graph with intrinsic vertex weights
• The role of vegetables trade network in global epidemics
• Stochastic epidemic models: a survey
• A Stochastic Evolutionary Growth Model for Social Networks
• Properties of the United States Code Citation Network
• Étude de l'omniprésence des propriétés petit- monde et sans-échelle
• An Information-Theoretic Formalism for Multiscale Structure in Complex Systems
• A unified framework for synchronization optimization in directed multiplex networks
• Evaluating sources of variability in pathway profiling
• Topologies and Price of Stability of Complex Strategic Networks with Localized Payoffs : Analytical and Simulation Studies
• ARACNE: An Algorithm for the Reconstruction of Gene Regulatory Networks in a Mammalian Cellular Context
• Human language reveals a universal positivity bias
• Dissemination strategy for immunizing scale-free networks
• Heat Conduction Process on Community Networks as a Recommendation Model
• Cascading dynamics in modular networks
• Assortativity in Generalized Preferential Attachment Models
• Vertex similarity in networks
• Dynamic behaviors in directed networks
• Diversity of Cortical States at Non-Equilibrium Simulated by the Ferromagnetic Ising Model Under Metropolis Dynamics
• Collective synchronization induced by epidemic dynamics on complex networks with communities
• Degree and component size distributions in the generalized uniform recursive tree
• Biological, psychological and social processes that explain celebrities’ influence on patients’ health-related behaviors
• Modular networks emerge from multiconstraint optimization
• Random field Ising model on networks with inhomogeneous connections
• Cross Comparison of Synonym Graphs in A Multi Linguistic Context
• Modeling Human Behavior in a Strategic Network Game with Complex Group Dynamics
• Power grids vulnerability: a complex network approach
• Evolving Apollonian networks with small-world scale-free topologies
• Diffusion processes on small-world networks with distance dependent random links
• Foot force models of crowd dynamics on a wobbly bridge
• The Anatomy of the Moltbook Social Graph
• Following celebrities' medical advice: meta-narrative analysis
• Social Network Analysis, Large-Scale
• Robustness of cooperation in the evolutionary prisoner's dilemma on complex networks
• Near linear time algorithm to detect community structures in large-scale networks
• Unveiling community structures in weighted networks
• Consensus formation on coevolving networks: groups' formation and structure
• Component models for large networks
• Diffusion dynamics and synchronizability of hierarchical products of networks
• From regular to growing small-world networks
• K-scaffold subgraphs of complex networks
• Social Signals in the Ethereum Trading Network
• Do the rich get richer? An empirical analysis of the BitCoin transaction network
• Asymptotic theory for the multidimensional random on-line nearest-neighbour graph
• Accounting for the Role of Long Walks on Networks via a New Matrix Function
• Robustness of networks against propagating attacks under vaccination strategies
• Network science: a review focused on tourism
• Growing directed networks: stationary in-degree probability for arbitrary out-degree one
• Probability models for degree distributions of protein interaction networks
• Correlation of Scholarly Networks and Social Networks
• Fluctuations and pseudo long range dependence in network flows: A non-stationary Poisson process model
• Designing networks: A mixed‐integer linear optimization approach
• Scale-free networks with an exponent less than two
• Weighted network modules
• Transforming Graph Representations for Statistical Relational Learning
• The anatomy of urban social networks and its implications in the searchability problem
• Effects of accelerating growth on the evolution of weighted complex networks
• Maximum flow and topological structure of complex networks
• Avalanches in complex spin networks
• Comparing community structure identification
• Rapid Species Identification of Pelagic Shark Tissues Using Genetic Approaches
• Percolation theory applied to measures of fragmentation in social networks
• Deterministic Scale-free Networks Created in a Recursive Manner
• Recovering Structural Organization in Noisy Correlation Networks Using Financial Systems as a Testbed
• Energy-landscape networks of spin glasses
• Exhaustive percolation on random networks
• Coevolution of lexicon and syntax from a simulation perspective
• Epidemic variability in complex networks
• Multi-state epidemic processes on complex networks
• A unified model for Sierpinski networks with scale-free scaling and small-world effect
• Residue network in protein native structure belongs to the universality class of a three-dimensional critical percolation cluster
• A novel approach for studying realistic navigations on networks
• Limits on relief through constrained exchange on random graphs
• Endogenous and exogenous dynamics in the fluctuations of capital fluxes
• Partial synchronization on complex networks
• Simple reaction-diffusion population model on scale-free networks
• An evolving network model with community structure
• Scaling and universality in city space syntax: Between Zipf and Matthew
• Gradient mechanism in a communication network
• A network with tunable clustering, degree correlation and degree distribution, and an epidemic thereon
• Large-scale structure of time evolving citation networks
• Component sizes in networks with arbitrary degree distributions
• Growing distributed networks with arbitrary degree distributions
• A novel configuration model for random graphs with given degree sequence
• Heterogeneous network with distance dependent connectivity
• Adaptive Dynamics of Realistic Small-World Networks
• A study of NK landscapes' basins and local optima networks
• The exact solution of the mean geodesic distance for Vicsek fractals
• Maximal planar scale-free Sierpinski networks with small-world effect and power law strength-degree correlation
• Characterization of subgraph relationships and distribution in complex networks
• Socioeconomic networks with long-range interactions
• Explicit Solutions to the Continuous Time Albert-Barabási Scale-Free Model
• Sketching a Space of Brain States
• Minimal Contagious Sets in Random Regular Graphs
• Social network reciprocity as a phase transition in evolutionary cooperation
• HP3-3 急性リンパ性白血病を既往歴に持つ男児への心理的関わり(ポスター 支援・心理・教育,第21回日本小児がん学会 第47回日本小児血液学会 同時期開催)
• Unveiling hidden features of the Kitaev model through a complex-network analysis
• Percolation Processes and Wireless Network Resilience to Degree-Dependent and Cascading Node Failures
• Maximal spanning trees, asset graphs and random matrix denoising in the analysis of dynamics of financial networks
• Diclique clustering in a directed random graph
• Comparison of social and physical free energies on a toy model
• Windows of opportunity for synchronization in stochastically coupled maps
• Breaking Synchrony by Heterogeneity in Complex Networks
• Waves in Excitable Neural Fields
• Fitness model for the Italian interbank money market
• Epidemic spreading in lattice-embedded scale-free networks
• Network analysis of online bidding activity
• Complex Cooperative Networks from Evolutionary Preferential Attachment
• Comparative definition of community and corresponding identifying algorithm
• Evolving network – simulation study
• Statistical inference for epidemic processes in a homogeneous community (Part IV of the book Stochastic Epidemic Models and Inference)
• Identifying network communities with a high resolution
• Weight-driven growing networks
• Fluid flow analysis in a rough fracture (type II) using complex networks and lattice Boltzmann method
• The origin of preferential attachment and the generalized preferential attachment for weighted networks
• Evaluating local community methods in networks
• On Automorphism Groups of Networks
• Protecting infrastructure networks from cost-based attacks
• Efficient and Exact Sampling of Simple Graphs with Given Arbitrary Degree Sequence
• One-dimensional Ising model built on small-world networks: Competing dynamics
• What are the best concentric descriptors for complex networks?
• Complex networks on hyperbolic surfaces
• Tumores de intestino delgado
• Correlations between structure and random walk dynamics in directed complex networks
• A generalized approach to complex networks
• 2D pattern evolution constrained by complex network dynamics
• Why do simple algorithms for triangle enumeration work in the real world?
• Identifying structural design principles shaping the computational abilities of recurrent neural networks
• A new method for quantifying network cyclic structure to improve community detection
• Epidemic spread in networks: Existing methods and current challenges
• Complex network approach for recurrence analysis of time series
• Explosive Percolation in Scale-Free Networks
• Modeling the Structure and Dynamics of the Consonant Inventories: A Complex Network Approach
• Node-Context Network Clustering using PARAFAC Tensor Decomposition
• Optimal vertex cover for the small-world Hanoi networks
• Trading strategies in the Italian interbank market
• OPTIMIZATION OF ROBUSTNESS OF SCALE-FREE NETWORK TO RANDOM AND TARGETED ATTACKS
• Metastable configurations of small-world networks
• Entropy optimization of scale-free networks’ robustness to random failures
• Effects of substrate network topologies on competition dynamics
• Transition from fractal to non-fractal scalings in growing scale-free networks
• Models and average properties of scale-free directed networks
• Modular synchronization in complex networks
• Phase transitions for rock-scissors-paper game on different networks
• Nonlocal evolution of weighted scale-free networks
• Spectra of complex networks
• Finding local community structure in networks
• Structural Inference of Hierarchies in Networks
• Scale invariance in road networks
• Universal fractal scaling of self-organized networks
• Comparison of voter and Glauber ordering dynamics on networks
• A model of spreading of sudden events on social networks
• Impact of Human Activity Patterns on the Dynamics of Information Diffusion
• New consistent and asymptotically normal estimators for random graph mixture models
• The International Trade Network
• Optimal transport on wireless networks
• Fractals in the Nervous System: conceptual Implications for Theoretical\n Neuroscience
• Better synchronizability predicted by a new coupling method
• The effects of degree correlations on network topologies and robustness
• Mathematical and Algorithmic Analysis of Network and Biological Data
• Investigation of a protein complex network
• Clustering coefficient and community structure of bipartite networks
• Emergence of double scaling law in complex systems
• Clustering of tag-induced subgraphs in complex networks
• Maps of random walks on complex networks reveal community structure
• The Evolution of the Cuban HIV/AIDS Network
• Universal scaling behavior of clustering coefficient induced by deactivation mechanism
• How Difficult is it to Develop a Perfect Spell-checker? A Cross-linguistic Analysis through Complex Network Approach
• Scale-free Loopy Structure is Resistant to Noise in Consensus Dynamics in Complex Networks
• Enhanced synchronizability by structural perturbations
• Preferential attachment with information filtering—node degree probability distribution properties
• Exploring self-similarity of complex cellular networks: The edge-covering method with simulated annealing and log-periodic sampling
• Laplacian spectra as a diagnostic tool for network structure and dynamics
• Maximal planar networks with large clustering coefficient and power-law degree distribution
• Random graph model with power-law distributed triangle subgraphs
• Synchronizability determined by coupling strengths and topology on complex networks
• High-dimensional random Apollonian networks
• Social inertia and diversity in collaboration networks
• Power-law distributions for the areas of the basins of attraction on a potential energy landscape
• Radial structure of the Internet
• sGrapp: Butterfly Approximation in Streaming Graphs
• Synchrony-optimized networks of Kuramoto oscillators with inertia
• Simulating City-level Airborne Infectious Diseases
• Flow dimension and capacity for structuring urban street networks
• Structure of peer-to-peer social networks
• Theory Discovery in Social Networks: Automating ERGM Specification with Large Language Models
• Dynamics on Complex Networks and Applications
• Optimal Resource Allocation for Dynamic Product Development Process via Convex Optimization
• Covariance, correlation matrix, and the multiscale community structure of networks
• Network analysis in the legal domain: a complex model for European Union legal sources
• Generation of arbitrarily two-point-correlated random networks
• Network Controllability Is Determined by the Density of Low In-Degree and Out-Degree Nodes
• Network of recurrent events for the Olami-Feder-Christensen model
• Gravity model in the Korean highway
• A Generative Model of Software Dependency Graphs to Better Understand Software Evolution
• Effect of spatial structure on the evolution of cooperation
• Tag-Aware Recommender Systems: A State-of-the-Art Survey
• Synchronization processes in complex networks
• The unreasonable effectiveness of tree-based theory for networks with clustering
• Networks of noisy oscillators with correlated degree and frequency dispersion
• Spectral plots and the representation and interpretation of biological data
• Greedy Forwarding in Dynamic Scale-Free Networks Embedded in Hyperbolic Metric Spaces
• GA Based Q-Attack on Community Detection
• Enhancing robustness and immunization in geographical networks
• Scale-free network on a vertical plane
• Frustrated hierarchical synchronization and emergent complexity in the human connectome network
• Small-world networks of optical fiber lattices
• Stations, trains and small-world networks
• Small-world network effect in competing Glauber- and Kawasaki-type dynamics
• OPINION FORMATION ON A DETERMINISTIC PSEUDO-FRACTAL NETWORK
• World-trade web: Topological properties, dynamics, and evolution
• Robust emergent activity in dynamical networks
• Onset of synchronization in complex networks of noisy oscillators
• Random graphs with arbitrary i.i.d. degrees
• Studying Language Change Using Price Equation and Pólya-urn Dynamics
• Nonperturbative heterogeneous mean-field approach to epidemic spreading in complex networks
• Inferring General Relations between Network Characteristics from Specific Network Ensembles
• Ridge network in crumpled paper
• Dynamical and bursty interactions in social networks
• Who’s Talking First? Consensus or Lack Thereof in Coevolving Opinion Formation Models
• Toward a synthesis of cognitive biases: How noisy information processing can bias human decision making.
• Quantifying the interdisciplinarity of scientific journals and fields
• Performance of modularity maximization in practical contexts
• Heterogeneous nucleation on complex networks with mobile impurities
• A network theoretic study of potential movement and spread of Lantana camara in Rajaji Tiger Reserve, India
• The evolutionary origins of modularity
• Knowledge gaps and missing links in understanding mass extinctions: Can mathematical modeling help?
• Community detection in complex networks using extremal optimization
• Approaching the thermodynamic limit in equilibrated scale-free networks
• Efficient Decomposition of Forman-Ricci Curvature on Vietoris-Rips Complexes and Data Applications
• Clustering in complex networks. I. General formalism
• Evolution of cooperation on scale-free networks subject to error and attack
• Dispersal-induced survival of predators in metacommunities due to transient chaos
• Detecting the optimal number of communities in complex networks
• Scale-free networks in cell biology
• Fingerprint for Network Topologies
• The effect of network topology on the stability of discrete state models of genetic control
• Generating Hierarchically Modular Networks via Link Switching
• STDP-driven networks and the C. elegans neuronal network
• Effects of diffusion rates on epidemic spreads in metapopulation networks
• Strategy to suppress epidemic explosion in heterogeneous metapopulation networks
• Efficiency and robustness in ant networks ofgalleries
• Modularity Emerges from Action-Functional Constraints in Marine Metabolic Networks: A Biology-Scale Validation of the Network-Weighted Action Principle
• Simple, distance-dependent formulation of the Watts-Strogatz model for directed and undirected small-world networks
• Recommendation model based on opinion diffusion
• Inferring bifurcation diagrams of two distinct chaotic systems by a single machine
• Use of Rapid Probabilistic Argumentation for Ranking on Large Complex Networks
• Delay-Controlled Heterogeneous Nucleation in Adaptive Dynamical Networks
• The Spread of Obesity in a Large Social Network over 32 Years
• Dynamic spread of happiness in a large social network: longitudinal analysis over 20 years in the Framingham Heart Study
• The Collective Dynamics of Smoking in a Large Social Network
• The Spread of Alcohol Consumption Behavior in a Large Social Network
• A Note on the Derivation of Epidemic Final Sizes
• Improved susceptible–infectious–susceptible epidemic equations based on uncertainties and autocorrelation functions
• Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes
• Qualitative Comparison of Community Detection Algorithms
• An Empirical Study of the Relation between Community Structure and Transitivity
• The “robust yet fragile” nature of the Internet
• Feedback for physicists: A tutorial essay on control
• On Accuracy of Community Structure Discovery Algorithms
• Controlling edge dynamics in complex networks
• The abundance threshold for plague as a critical percolation phenomenon
• INTERPLAY BETWEEN HIV/AIDS EPIDEMICS AND DEMOGRAPHIC STRUCTURES BASED ON SEXUAL CONTACT NETWORKS
• Synchronization of Kuramoto oscillators in scale-free networks
• Perturbing general uncorrelated networks
• Emergence and Size of the Giant Component in Clustered Random Graphs with a Given Degree Distribution
• Percolation on complex networks: Theory and application
• Molecular jenga: the percolation phase transition (collapse) in virus capsids
• The emergence of consensus: a primer
• Modularity produces small-world networks with dynamical time-scale separation
• Diffusion on complex networks: a way to probe their large-scale topological structures
• Statistical mechanics of random graphs
• The worldwide air transportation network: Anomalous centrality, community structure, and cities' global roles
• Complex grid computing
• SPANNING TREES AND BOOTSTRAP RELIABILITY ESTIMATION IN CORRELATION-BASED NETWORKS
• Network Detection Theory and Performance
• Detecting modules in dense weighted networks with the Potts method
• Discrete-time Markov chain approach to contact-based disease spreading in complex networks
• Planar unclustered scale-free graphs as models for technological and biological networks
• Motifs in triadic random graphs based on Steiner triple systems
• NodeTrix: a Hybrid Visualization of Social Networks
• Synchronizability of Highly Clustered Scale-Free Networks
• The impact of quality uncertainty without asymmetric information on market efficiency
• Statistical significance of the rich-club phenomenon in complex networks
• Rigorous results on the threshold network model
• Modes of collaboration in modern science: Beyond power laws and preferential attachment
• Model hierarchies in edge-based compartmental modeling for infectious disease spread
• Potts model with q = 3 and 4 states on directed small-world network
• Flux distribution of metabolic networks close to optimal biomass production
• Prominence and Control: The Weighted Rich-Club Effect
• Knowledge workers’ collaborative learning behavior modeling in an organizational social network
• Effect of node deleting on network structure
• New Specifications for Exponential Random Graph Models
• Analysis of communities in a mythological social network
• Compressing Complexity: A Critical Synthesis of Structural, Analytical, and Data-Driven Dimensionality Reduction in Dynamical Networks
• Geometric signature of complex synchronisation scenarios
• Temporal Complexity and Self-Organization in an Exponential Dense Associative Memory Model
• The number of spanning trees of an infinite family of outerplanar, small-world and self-similar graphs
• Input-output relationship in social communications characterized by spike train analysis
• Communicability and Communities in Complex Socio-Economic Networks
• Phase-space networks and connectivity of the kagome antiferromagnet
• Resilience of public transport networks against attacks
• Centrality properties of directed module members in social networks
• A model of a trust-based recommendation system on a social network
• Introduction to Webometrics: Quantitative Web Research for the Social Sciences
• Enactive Artificial Intelligence: A Decision-Centric Architecture for Complex Systems
• Robustness of a partially interdependent network formed of clustered networks
• Dynamic Networks that Drive the Process of Irreversible Step-Growth Polymerization
• Risk perception in epidemic modeling
• Obtaining Structural Network Controllability with Higher-Order Local Dynamics
• Stochastic Dynamical Model of a Growing Citation Network Based on a Self-Exciting Point Process
• Coarse-grained Monte Carlo simulations of the phase transition of the Potts model on weighted networks
• Statistical mechanics of random geometric graphs: Geometry-induced first-order phase transition
• Real-Time Community Detection in Large Social Networks on a Laptop
• Scaling invariance in spectra of complex networks: A diffusion factorial moment approach
• EVOLVING SCALE-FREE NETWORK MODEL WITH TUNABLE CLUSTERING
• Degree landscapes in scale-free networks
• The Transition Towards Immortality: Non-linear Autocatalytic Growth of Citations to Scientific Papers
• Controlling synchrony by delay coupling in networks: From in-phase to splay and cluster states
• Scaling properties in spatial networks and their effects on topology and traffic dynamics
• Activity patterns on random scale-free networks: global dynamics arising from local majority rules
• Scale-free networks with a large- to hypersmall-world transition
• Unified functional network and nonlinear time series analysis for complex systems science: Thepyunicornpackage
• MAP: Microblogging Assisted Profiling of TV Shows
• Identifying Modular Flows on Multilayer Networks Reveals Highly Overlapping Organization in Interconnected Systems
• Multiset of Agents in a Network for Simulation of Complex Systems
• Patterns of cooperation: fairness and coordination in networks of interacting agents
• Phase-space networks of geometrically frustrated systems
• Nonlinear Spread of Rumor and Inoculation Strategies in the Nodes With Degree Dependent Tie Strength in Complex Networks
• Empirical analysis of the worldwide maritime transportation network
• Diversity Enabling Equilibration: Disorder and the Ground State in Artificial Spin Ice
• Counting spanning trees in self-similar networks by evaluating determinants
• Diffusion–annihilation processes in weighted scale-free networks with an identical degree sequence
• Optimal paths on the road network as directed polymers
• From time series to complex networks: The visibility graph
• Topological Speed Limits to Network Synchronization
• Networks of Commerce and Knowledge in the Iron Age: The Case of the Phoenicians
• Spatiotemporal correlations of aftershock sequences
• A Comparative Analysis of Community Detection Algorithms on Artificial Networks
• Contact graphs of disk packings as a model of spatial planar networks
• Node-weighted measures for complex networks with spatially embedded, sampled, or differently sized nodes
• Dynamic scaling, data-collapse and self-similarity in Barabási–Albert networks
• Split Bregman Method for Sparse Inverse Covariance Estimation with Matrix Iteration Acceleration
• Social dilemmas in off-lattice populations
• Hysteretic Percolation from Locally Optimal Individual Decisions
• Laplacian spectra of, and random walks on, complex networks: Are scale-free architectures really important?
• Growing scale-free simplices
• Scaling of load in communications networks
• Recurrence network analysis in a model tripartite quantum system
• Awareness and Movement vs. the Spread of Epidemics - Analyzing a Dynamic Model for Urban Social/Technological Networks
• Node similarity within subgraphs of protein interaction networks
• Condensation in zero-range processes on inhomogeneous networks
• Impact of a treatment as prevention strategy on hepatitis C virus transmission and on morbidity in people who inject drugs
• Interpreting communities based on the evolution of a dynamic attributed network
• Topological phase transition in a network model with preferential attachment and node removal
• Benefits of Semantics on Web Service Composition from a Complex Network Perspective
• On Flexible Web Services Composition Networks
• Signatures of small-world and scale-free properties in large computer programs
• Patterns in the English language: phonological networks, percolation and assembly models
• On the critical packet injection rate of a preferential next-nearest neighbor routing traffic model on Barabási-Albert networks
• Maximum matchings and minimum dominating sets in Apollonian networks and extended Tower of Hanoi graphs
• Epidemic Dynamics on an Adaptive Network
• Korean university life in a network perspective: Dynamics of a large affiliation network
• Self-similarity, small-world, scale-free scaling, disassortativity, and robustness in hierarchical lattices
• Modelling disorder: the cases of wetting and DNA denaturation
• Post-processing hierarchical community structures: Quality improvements and multi-scale view
• Adaptive Event Dissemination for Peer-to-Peer Multiplayer Online Games
• Can we neglect the multi-layer structure of functional networks?
• Network analysis of cosmic structures: network centrality and topological environment
• Stability as a natural selection mechanism on interacting networks
• Spectral perturbation and reconstructability of complex networks
• Functionally Fractal Urban Networks: Geospatial Co-location and Homogeneity of Infrastructure
• The Anatomy of a Scientific Rumor
• Multi-fractal analysis of weighted networks
• Extracting the signed backbone of intrinsically dense weighted networks
• Subgraph centrality in complex networks
• Spectral measures of bipartivity in complex networks
• Community detection combining topology and attribute information
• Gibbs entropy of network ensembles by cavity methods
• Recommender systems in industrial contexts
• Priority diffusion model in lattices and complex networks
• Scaling Laws in Chennai Bus Network
• Fast and accurate determination of modularity and its effect size
• Growing Multiplex Networks
• Spatial characterization of turbulent channel flow via complex networks
• Emergence of network features from multiplexity
• Detecting and describing dynamic equilibria in adaptive networks
• Tricritical Point in Heterogeneousk-Core Percolation
• Signatures of Currency Vertices
• 5. Sampling and Estimation in Hidden Populations Using Respondent-Driven Sampling
• Modeling the clustering in citation networks
• Immunization strategies in networks with missing data
• A method for characterizing communities in dynamic attributed complex networks
• Network Theory and Religious Innovation
• K-shell decomposition reveals hierarchical cortical organization of the human brain
• Materials Cartography: Representing and Mining Materials Space Using Structural and Electronic Fingerprints
• One-Step Memory Random Walk on Complex Networks: An Efficient Local Navigation Strategy
• Complete hierarchies of SIR models on arbitrary networks with exact and approximate moment closure
• Spatial networks
• Percolation of networks with directed dependency links
• Improved community structure detection using a modified fine-tuning strategy
• Collective Phenomena Emerging from the Interactions between Dynamical Processes in Multiplex Networks
• Quantifying Complexity in Quantum Phase Transitions via Mutual Information Complex Networks
• Asymmetric disease dynamics in multihost interconnected networks
• Modelling Excess Mortality in Covid-19-Like Epidemics
• Spectral and Dynamic Consequences of Network Specialization
• Path-integral approach to dynamics in a sparse random network
• A Poissonian explanation for heavy tails in e-mail communication
• Dynamical Patterns of Cattle Trade Movements
• Congestion-gradient driven transport on complex networks
• Cascades on a class of clustered random networks
• Analytical results for bond percolation andk-core sizes on clustered networks
• Quantitative Function and Algorithm for Community Detection in Bipartite Networks
• Analysis of aperture evolution in a rock joint using a complex network approach
• Entropy rate of diffusion processes on complex networks
• Robust classification of salient links in complex networks
• The International Trade Network: weighted network analysis and modelling
• Different topologies for a herding model of opinion
• CLUSTERIZATION, FRUSTRATION AND COLLECTIVITY IN RANDOM NETWORKS
• Evolutionary prisoner’s dilemma game with dynamic preferential selection
• Concentric characterization and classification of complex network nodes: Application to an institutional collaboration network
• Percolation of randomly distributed growing clusters: the low initial density regime
• Discontinuous transitions of social distancing in the SIR model
• Bridgeness: a local index on edge significance in maintaining global connectivity
• Dynamical robustness of network of oscillators
• Deterministic modularity optimization
• Delay controls chimera relay synchronization in multiplex networks
• The Ultimatum Game in complex networks
• Promoting cooperation by preventing exploitation: The role of network structure
• Subgraph Covers: An Information-Theoretic Approach to Motif Analysis in Networks
• Zealotry effects on opinion dynamics in the adaptive voter model
• Complex Networks Renormalization: Flows and Fixed Points
• Detect overlapping and hierarchical community structure in networks
• Dynamical and spectral properties of complex networks
• Multiscaling in anYXmodel of networks
• Visualization Tasks for Unlabelled Graphs
• Modeling the Perspectives for Scientific Advancement
• Inhomogeneous percolation models for spreading phenomena in random graphs
• Optimized two-dimensional networks with edge-crossing cost: Frustrated antiferromagnetic spin system
• How to determine if a random graph with a fixed degree sequence has a giant component
• Degree product rule tempers explosive percolation in the absence of global information
• Moment-Closure Approximations for Discrete Adaptive Networks
• Limit theory for the random on‐line nearest‐neighbor graph
• Dynamic computation of network statistics via updating schema
• Pareto Optimality in Multilayer Network Growth
• Finding communities in sparse networks
• As duas censuras do regime militar : o controle das diversões públicas e da imprensa entre 1964 e 1978
• Efficiently detecting overlapping communities using seeding and semi-supervised learning
• Charting epilepsy by searching for intelligence in network space with the help of evolving autonomous agents
• Controlling Synchronization in Large Laser Networks
• Approximate entropy of network parameters
• Long-range synchrony and emergence of neural reentry
• Evolution of autocatalytic sets in a competitive percolation model
• Critical percolation phase and thermal Berezinskii-Kosterlitz-Thouless transition in a scale-free network with short-range and long-range random bonds
• Clone size distributions in networks of genetic similarity
• Structural and spectral properties of a family of deterministic recursive trees: rigorous solutions
• The percolation transition in correlated hypergraphs
• How breadth of degree distribution influences network robustness: Comparing localized and random attacks
• Uniform generation of random graphs with power-law degree sequences
• An optimal network for passenger traffic
• Interacting Discovery Processes on Complex Networks
• Functional clustering algorithm for the analysis of dynamic network data
• The web of connections between tourism companies: Structure and dynamics
• Complex network approach to characterize the statistical features of the sunspot series
• Fast generation of random connected graphs with prescribed degrees
• Subgraphs and network motifs in geometric networks
• Random walks in modular scale-free networks with multiple traps
• Dynamical Motifs: Building Blocks of Complex Dynamics in Sparsely Connected Random Networks
• Live and Dead Nodes
• Explicit construction of the eigenvectors and eigenvalues of the graph Laplacian on the Cayley tree
• Master-equation analysis of accelerating networks
• Link-space formalism for network analysis
• Detecting the structure of complex networks by quantum bosonic dynamics
• Are crossing dependencies really scarce?
• Effect of edge removal on topological and functional robustness of complex networks
• Master stability functions for complete, intralayer, and interlayer synchronization in multiplex networks of coupled Rössler oscillators
• Percolation on networks with antagonistic and dependent interactions
• Random Walks on Simplicial Complexes and the Normalized Hodge 1-Laplacian
• The Dynamics of Initiative in Communication Networks
• Towards realistic artificial benchmark for community detection algorithms evaluation
• Anomalous biased diffusion in networks
• Community detection using a neighborhood strength driven Label Propagation Algorithm
• Transport on weighted networks: When the correlations are independent of the degree
• A Pólya urn approach to information filtering in complex networks
• Optimal modularity and memory capacity of neural reservoirs
• Effects of Component-Subscription Network Topology on Large-Scale Data Centre Performance Scaling
• Community structures and role detection in music networks
• Correlations in bipartite collaboration networks
• Interplay between consensus and coherence in a model of interacting opinions
• Network Community Detection on Metric Space
• Cosmological networks
• Resampling Effects on Significance Analysis of Network Clustering and Ranking
• Multi-hop assortativities for network classification
• Biology helps to construct weighted scale-free networks
• Modeling complex systems with adaptive networks
• Patchy percolation on a hierarchical network with small-world bonds
• Consensus formation on adaptive networks
• Limits of modularity maximization in community detection
• Energy Landscape of Social Balance
• Phase diagram of epidemic spreading — unimodal vs. bimodal probability distributions
• Zero Pearson coefficient for strongly correlated growing trees
• Random networks with tunable degree distribution and clustering
• A new measure for community structures through indirect social connections
• Mean first-passage time for random walks in general graphs with a deep trap
• Scaling in small-world resistor networks
• Statistical analysis of the Metropolitan Seoul Subway System: Network structure and passenger flows
• Friendship Paradox and Attention Economics
• Detecting the overlapping and hierarchical community structure in complex networks
• Extending the definition of modularity to directed graphs with overlapping communities
• Power Grid Network Evolutions for Local Energy Trading
• The Wealth of Networks: How Social Production Transforms Markets and Freedom
• Travel and tourism: Into a complex network
• Modular synchronization in complex networks with a gauge Kuramoto model
• Percolation in Living Neural Networks
• Surrogate-assisted analysis of weighted functional brain networks
• Structural robustness of the international food supply network under external shocks and its determinants
• Spin-glass phase transition on scale-free networks
• Controlling Complex Systems
• Optimization of network structure to random failures
• Emergence of Collective Memories
• Probabilistic Partial Set Covering with an Oracle for Chance Constraints
• Extreme first-passage times for random walks on networks
• Efficient Triangle Counting in Large Graphs via Degree-Based Vertex Partitioning
• Null-eigenvalue localization of quantum walks on complex networks
• Detecting network communities: a new systematic and efficient algorithm
• REACTION–DIFFUSION PROCESSES ON RANDOM AND SCALE-FREE NETWORKS
• Damage spreading and opinion dynamics on scale-free networks
• Effects of network topology, transmission delays, and refractoriness on the response of coupled excitable systems to a stochastic stimulus
• Randomized reference models for temporal networks
• Bipartite network projection and personal recommendation
• Bipartite structure of all complex networks

Discussions

• The structure and function of complex networks [hn, 2 points, 0 comments]

Related

• The network approach: basic concepts and algorithms
• The shortest path to complex networks
• Dynamics of social networks
• Networks: The Visual Language of Complexity
• Aligning Statistical Dynamics Captures Biological Network Functioning