Evolution of networks

Abstract

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant artificial networks of such a kind came into existence recently. This opens a wide field for the study of their topology, evolution, and complex processes occurring in them. Such networks possess a rich set of scaling properties. A number of them are scale-free and show striking resilience against random breakdowns. In spite of large sizes of these networks, the distances between most their vertices are short -- a feature known as the ``small-world'' effect. We discuss how growing networks self-organize into scale-free structures and the role of the mechanism of preferential linking. We consider the topological and structural properties of evolving networks, and percolation in these networks. We present a number of models demonstrating the main features of evolving networks and discuss current approaches for their simulation and analytical study. Applications of the general results to particular networks in Nature are discussed. We demonstrate the generic connections of the network growth processes with the general problems of non-equilibrium physics, econophysics, evolutionary biology, etc.

67 pages, updated, revised, and extended version of review, submitted to Adv. Phys

References in corpus (59)

• Statistical mechanics of complex networks
• Lethality and centrality in protein networks
• Efficient Behavior of Small-World Networks
• Who is the best connected scientist? A study of scientific coauthorship networks
• Clustering and preferential attachment in growing networks
• Epidemic dynamics and endemic states in complex networks
• Dynamical and correlation properties of the Internet
• The Web of Human Sexual Contacts
• Universal Behavior of Load Distribution in Scale-free Networks
• Search in Power-Law Networks
• Modeling the Internet's Large-Scale Topology
• Measuring preferential attachment for evolving networks
• A fast Monte Carlo algorithm for site or bond percolation
• Spectra of "Real-World" Graphs: Beyond the Semi-Circle Law
• Deterministic Scale-Free Networks
• Weighted Evolving Networks
• Are randomly grown graphs really random?
• Highly clustered scale-free networks
• Critical behavior of propagation on small-world networks
• Curvature of Co-Links Uncovers Hidden Thematic Layers in the World Wide Web
• Growing Scale-Free Networks with Small World Behavior
• Degree Distributions of Growing Networks
• Emergence of a small world from local interactions: Modeling acquaintance networks
• Giant strongly connected component of directed networks
• Robust Patterns in Food Web Structure
• Scaling properties of scale-free evolving networks: Continuous approach
• Spectra and eigenvectors of scale-free networks
• Instability of scale-free networks under node-breaking avalanches
• Statistical ensemble of scale-free random graphs
• Percolation and epidemics in a two-dimensional small world
• Fluctuation-driven dynamics of the Internet topology
• Anomalous percolating properties of growing networks
• Growing Random Networks with Fitness
• XY model in small-world networks
• Topological Properties of Citation and Metabolic Networks
• Analytical solution of a model for complex food webs
• Statistics of citation networks
• The shape of ecological networks
• Comment on "Breakdown of the Internet under Intentional Attack"
• Characterizing the structure of small-world networks
• Scaling of random spreading in small world networks
• Small-world phenomena and the statistics of linear polymer networks
• Damage spreading in small world Ising models
• Statistical and Dynamical Study of Disease Propagation in a Small World Network
• Preferencial growth: exact solution of the time dependent distributions
• Multifractal properties of growing networks
• Criticality of rumor propagation on small-world networks
• Random spreading phenomena in annealed small world networks
• Intentional Walks on Scale Free Small Worlds
• Growing dynamics of Internet providers
• Bigger May Not Be Better: An Empirical Analysis of Optimal Membership Rules in Peer-To-Peer Networks
• Small-World Effects in Wealth Distribution
• Modeling of protein interaction networks
• Preferential growth: Solution and application to modeling stock market
• Emergence of Hierarchy on a Network of Complementary Agents
• Growing random networks under constraints
• Power-Law Scaling for Communication Networks with Transmission Errors
• Access time of an adaptive random walk on the world-wide Web
• New approach for network monitoring and intrusion detection

Cited by in corpus (1053)

• The structure and function of complex networks
• Modularity and community structure in networks
• Community detection in graphs
• Finding community structure in very large networks
• Assortative mixing in networks
• Finding community structure in networks using the eigenvectors of matrices
• Catastrophic cascade of failures in interdependent networks
• Statistical physics of social dynamics
• Epidemic processes in complex networks
• Synchronization in complex networks
• Mixing patterns in networks
• The structure and dynamics of multilayer networks
• Link Prediction in Complex Networks: A Survey
• Analysis of weighted networks
• Spatial Networks
• Characterization of complex networks: A survey of measurements
• Critical phenomena in complex networks
• Hierarchical Organization in Complex Networks
• Structure and tie strengths in mobile communication networks
• Predicting Missing Links via Local Information
• From time series to complex networks: the visibility graph
• The worldwide air transportation network: Anomalous centrality, community structure, and cities' global roles
• Networks beyond pairwise interactions: structure and dynamics
• Community detection in complex networks using Extremal Optimization
• Self-similar community structure in organisations
• Subgraph Centrality in Complex Networks
• Finding statistically significant communities in networks
• Efficient Immunization Strategies for Computer Networks and Populations
• A model for cascading failures in complex networks
• Community structure in directed networks
• Intensity and coherence of motifs in weighted complex networks
• How to project a bipartite network?
• The Kuramoto model in complex networks
• Recommender Systems
• Dynamics of Rumor Spreading in Complex Networks
• Vertex similarity in networks
• A tool for filtering information in complex systems
• Structure and dynamics of molecular networks: A novel paradigm of drug discovery. A comprehensive review
• Modularity from Fluctuations in Random Graphs and Complex Networks
• Scale-free networks are rare
• Statistical physics of vaccination
• Consensus clustering in complex networks
• Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
• Analyzing and Modeling Real-World Phenomena with Complex Networks: A Survey of Applications
• Finding local community structure in networks
• Cascade control and defense in complex networks
• Dynamics of market correlations: Taxonomy and portfolio analysis
• Evolutionary games on multilayer networks: A colloquium
• The Network Analysis of Urban Streets: A Primal Approach
• Generation of uncorrelated random scale-free networks
• Generalizations of the clustering coefficient to weighted complex networks
• Network Physiology reveals relations between network topology and physiological function
• k-core organization of complex networks
• Large-scale topological and dynamical properties of Internet
• Epidemic dynamics in finite size scale-free networks
• Betweenness Centrality in Large Complex Networks
• Topology of the World Trade Web
• Effective and Efficient Similarity Index for Link Prediction of Complex Networks
• The statistical mechanics of networks
• Social physics
• Nonequilibrium phase transition in the coevolution of networks and opinions
• Halting viruses in scale-free networks
• Growing networks with local rules: preferential attachment, clustering hierarchy and degree correlations
• Colloquium: Criticality and dynamical scaling in living systems
• Epidemic spreading in correlated complex networks
• The phase transition in inhomogeneous random graphs
• Absence of epidemic threshold in scale-free networks with connectivity correlations
• Network Synchronization, Diffusion, and the Paradox of Heterogeneity
• Pseudofractal Scale-free Web
• Limits of modularity maximization in community detection
• Coevolution of dynamical states and interactions in dynamic networks
• Properties of highly clustered networks
• The spatial structure of networks
• Statistical Analysis of Airport Network of China
• Class of correlated random networks with hidden variables
• Statistical properties of sampled networks
• Geographical dispersal of mobile communication networks
• The Matthew effect in empirical data
• Statistical analysis of 22 public transport networks in Poland
• Citation Statistics from 110 Years of Physical Review
• Ising Model on Networks with an Arbitrary Distribution of Connections
• Classification of scale-free networks
• Fitness-dependent topological properties of the World Trade Web
• Sufficient Conditions for Fast Switching Synchronization in Time Varying Network Topologies
• Percolation on complex networks: Theory and application
• Cascade Dynamics of Multiplex Propagation
• Localization and Spreading of Diseases in Complex Networks
• Detecting communities in large networks
• Average path length in random networks
• Average path length in uncorrelated random networks with hidden variables
• Preferential attachment in the growth of social networks: the case of Wikipedia
• Complex Networks as Hypergraphs
• Betweenness centrality correlation in social networks
• Invasion threshold in heterogeneous metapopulation networks
• Continuous-Time Quantum Walks: Models for Coherent Transport on Complex Networks
• Enhancing complex-network synchronization
• Percolation Critical Exponents in Scale-Free Networks
• Cut-offs and finite size effects in scale-free networks
• Modeling the evolution of weighted networks
• Threshold effects for two pathogens spreading on a network
• Public transport networks: empirical analysis and modeling
• The Simultaneous Evolution of Author and Paper Networks
• Resilience of public transport networks against attacks
• A Method to Find Community Structures Based on Information Centrality
• Epidemic thresholds of the Susceptible-Infected-Susceptible model on networks: A comparison of numerical and theoretical results
• Bipartite Graphs as Models of Complex Networks
• Behaviors of susceptible-infected epidemics on scale-free networks with identical infectivity
• Spectra of complex networks
• Community Detection in Complex Networks Using Genetic Algorithms
• Statistical physics of crime: A review
• Critical brain networks
• Consensus formation on adaptive networks
• Maximal planar networks with large clustering coefficient and power-law degree distribution
• Improved routing strategies for Internet traffic delivery
• Characterizing the community structure of complex networks
• Resilience to damage of graphs with degree correlations
• Epidemic spreading in complex networks with degree correlations
• Sandpile on Scale-Free Networks
• Weighted network modules
• Factors that predict better synchronizability on complex networks
• Construction and properties of assortative random networks
• Spectral Measures of Bipartivity in Complex Networks
• Nonequilibrium transitions in complex networks: a model of social interaction
• Frequency synchronization in random oscillator network
• Preferential attachment in the protein network evolution
• Complex network analysis of water distribution systems
• Structure and Time-Evolution of an Internet Dating Community
• Network Geometry
• Ferromagnetic Phase Transition in Barabasi-Albert Networks
• The origin of degree correlations in the Internet and other networks
• Percolation in Directed Scale-Free Networks
• A Model for Social Networks
• Ranking in evolving complex networks
• Subgraphs in random networks
• Epidemic Incidence in Correlated Complex Networks
• Bootstrap Percolation on Complex Networks
• Epidemic spread in weighted scale-free networks
• Fractal and Transfractal Recursive Scale-Free Nets
• Wikipedias: Collaborative web-based encyclopedias as complex networks
• The energy landscape of social balance
• Critical load and congestion instabilities in scale-free networks
• Entropy Optimization of Scale-Free Networks Robustness to Random Failures
• The first-mover advantage in scientific publication
• Exact solutions for models of evolving networks with addition and deletion of nodes
• A Study of NK Landscapes' Basins and Local Optima Networks
• Synchronization in scale-free network with asymmetric coupling
• Greedy Forwarding in Dynamic Scale-Free Networks Embedded in Hyperbolic Metric Spaces
• Infinite-Order Percolation and Giant Fluctuations in a Protein Interaction Network
• A Multi-Scale Analysis of 27,000 Urban Street Networks: Every US City, Town, Urbanized Area, and Zillow Neighborhood
• Citation Networks in High Energy Physics
• Scale-free Networks on Lattices
• Sparse graphs using exchangeable random measures
• LinkRank: Finding communities in directed networks
• Correlated random networks
• Emergent Hyperbolic Network Geometry
• Generalized percolation in random directed networks
• Tag-Aware Recommender Systems: A State-of-the-art Survey
• Scale Invariance in Road Networks
• Exploring complex networks by walking on them
• Non mean-field behavior of the contact process on scale-free networks
• Inverted Berezinskii-Kosterlitz-Thouless Singularity and High-Temperature Algebraic Order in an Ising Model on a Scale-Free Hierarchical-Lattice Small-World Network
• Large-scale structure of time evolving citation networks
• Scale-free network growth by ranking
• Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators
• Percolation on correlated networks
• Network Landscape from a Brownian Particle's Perspective
• Vertex Intrinsic Fitness: How to Produce Arbitrary Scale-Free Networks
• Construction and Analysis of Random Networks with Explosive Percolation
• Spectral coarse-graining of complex networks
• Tuning clustering in random networks with arbitrary degree distributions
• Kuramoto model with frequency-degree correlations on complex networks
• Evolving networks in the human epileptic brain
• The Nature of the Condensate in Mass Transport Models
• Shape and efficiency in spatial distribution networks
• From Scale-free to Erdos-Renyi Networks
• Modular synchronization in complex networks
• Critical phenomena in networks
• Interplay between topology and dynamics in the World Trade Web
• Assortative mixing in Protein Contact Networks and protein folding kinetics
• Compact Routing on Internet-Like Graphs
• The effects of spatial constraints on the evolution of weighted complex networks
• Cayley Trees and Bethe Lattices, a concise analysis for mathematicians and physicists
• On network bipartivity
• Competing activation mechanisms in epidemics on networks
• Weighted Assortative And Disassortative Networks Model
• Laplacian spectra of complex networks and random walks on them: Are scale-free architectures really important?
• Bi-clique Communities
• Aggregate Characterization of User Behavior in Twitter and Analysis of the Retweet Graph
• Performance of networks of artificial neurons: The role of clustering
• Assortative model for social networks
• Large-scale structure of a nation-wide production network
• Continuum percolation of wireless ad hoc communication networks
• Topological Speed Limits to Network Synchronization
• Scale-free networks without growth
• Exact solution for mean first-passage time on a pseudofractal scale-free web
• Langevin approach for the dynamics of the contact process on annealed scale-free networks
• Community structure and ethnic preferences in school friendship networks
• Distinct types of eigenvector localization in networks
• Scale-free trees: the skeletons of complex networks
• The effect of aging on network structure
• Structural transitions in scale-free networks
• Empirical analysis of web-based user-object bipartite networks
• A Random Growth Model for Power Grids and Other Spatially Embedded Infrastructure Networks
• Scale-Free Networks Generated By Random Walkers
• Solution for the properties of a clustered network
• Efficient routing on scale-free networks based on local information
• A deterministic small-world network created by edge iterations
• Strong correlations between text quality and complex networks features
• Diameters in preferential attachment models
• Flow networks: A characterization of geophysical fluid transport
• Collective synchronization induced by epidemic dynamics on complex networks with communities
• Sampling properties of random graphs: the degree distribution
• Information filtering via Iterative Refinement
• Rate equation approach for correlations in growing network models
• Small-world structure of earthquake network
• Evolving networks with disadvantaged long-range connections
• Potts model on complex networks
• Diffusion-annihilation processes in complex networks
• Heterogeneous Bond Percolation on Multitype Networks with an Application to Epidemic Dynamics
• Network Harness: Metropolis Public Transport
• An evolving network model with community structure
• Exploring Complex Networks through Random Walks
• Modes of Collaboration in Modern Science - Beyond Power Laws and Preferential Attachment
• Number of loops of size h in growing scale-free networks
• Biased imitation in coupled evolutionary games in interdependent networks
• Clustering of correlated networks
• Enhance synchronizability by structural perturbations
• Growth and structure of Slovenia's scientific collaboration network
• Network synchronization: Spectral versus statistical properties
• Standard random walks and trapping on the Koch network with scale-free behavior and small-world effect
• From the time series to the complex networks: the parametric (dynamical) natural visibility graph
• Information Super-Diffusion on Structured Networks
• Emergence of large cliques in random scale-free network
• Urban road networks -- Spatial networks with universal geometric features? A case study on Germany's largest cities
• Heterogeneous-k-core versus Bootstrap Percolation on Complex Networks
• A quantitative analysis of measures of quality in science
• Graph measures and network robustness
• A High Robustness and Low Cost Model for Cascading Failures
• Multimodal urban mobility and multilayer transport networks
• Component sizes in networks with arbitrary degree distributions
• Information filtering in complex weighted networks
• Geographical threshold graphs with small-world and scale-free properties
• Quantum transport on small-world networks: A continuous-time quantum walk approach
• Dynamical and spectral properties of complex networks
• Random graph models for directed acyclic networks
• Random Networks with Tunable Degree Distribution and Clustering
• The hidden geometry of weighted complex networks
• Hypergraph model of social tagging networks
• Network Transitivity and Matrix Models
• Topology and correlations in structured scale-free networks
• Coherence in scale-free networks of chaotic maps
• True scale-free networks hidden by finite size effects
• Percolation in Hierarchical Scale-Free Nets
• Two-dimensional ranking of Wikipedia articles
• Breaking Synchrony by Heterogeneity in Complex Networks
• Uncorrelated Random Networks
• Travel and tourism: Into a complex network
• Maximal planar scale-free Sierpinski networks with small-world effect and power-law strength-degree correlation
• Particle Acceleration in an Evolving Network of Unstable Current Sheets
• Epidemic spreading and risk perception in multiplex networks: a self-organized percolation method
• Relations between Average Distance, Heterogeneity and Network Synchronizability
• Evolving networks with distance preferences
• Emergence of weight-topology correlations in complex scale-free networks
• Determining global mean-first-passage time of random walks on Vicsek fractals using eigenvalues of Laplacian matrices
• Interaction driven real-space condensation
• Intermittent social distancing strategy for epidemic control
• First- and second-order phase transitions in scale-free networks
• High dimensional random Apollonian networks
• Weighted Scale-Free Networks with Stochastic Weight Assignments
• Long Chaotic Transients in Complex Networks
• Connectivity Distribution of Spatial Networks
• Recent advances of percolation theory in complex networks
• Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation
• Metric structure of random networks
• Ensemble averageability in network spectra
• Heterogeneous pair approximation for voter models on networks
• Ising model in scale-free networks: A Monte Carlo simulation
• Random matrix analysis of complex networks
• Worm Epidemics in Wireless Adhoc Networks
• Absence of kinetic effects in reaction-diffusion processes in scale-free networks
• Principles of statistical mechanics of random networks
• Evolution of scale-free random graphs: Potts model formulation
• Higher order clustering coefficients in Barabasi-Albert networks
• Statistical properties of sampled networks by random walks
• Immunization of Real Complex Communication Networks
• Prediction of highly cited papers
• Network Synchronization in a Noisy Environment with Time Delays: Fundamental Limits and Trade-Offs
• Relating Topological Determinants of Complex Networks to Their Spectral Properties: Structural and Dynamical Effects
• Self-similarity, small-world, scale-free scaling, disassortativity, and robustness in hierarchical lattices
• A limited resource model of fault-tolerant capability against cascading failure of complex network
• High Dimensional Apollonian Networks
• Topological properties of a time-integrated activity driven network
• A tale of two cities. Vulnerabilities of the London and Paris transit networks
• The network of concepts in written texts
• Mean first-passage time for random walks on undirected networks
• A dynamic model of time-dependent complex networks
• Growing scale-free simplices
• Vaccination intervention on epidemic dynamics in networks
• The Web Graph of a Tourism System
• Density-based and transport-based core-periphery structures in networks
• Structural constraints in complex networks
• Exact solution of mean geodesic distance for Vicsek fractals
• Self-avoiding walks on scale-free networks
• Scaling Properties of Random Walks on Small-World Networks
• Synchronization on community networks
• Synchronization of unidirectional time delay chaotic networks and the greatest common divisor
• Diversity of information pathways drives scaling and sparsity in real-world networks
• The spread of disease with birth and death on networks
• Scale Free Networks from Self-Organisation
• Wiring cost in the organization of a biological network
• Resilience of Complex Networks to Random Breakdown
• Universal scaling of distances in complex networks
• Offdiagonal Complexity: A computationally quick complexity measure for graphs and networks
• Cyclic Topology in Complex Networks
• A Mutual Selection Model for Weighted Networks
• The interdependent network of gene regulation and metabolism is robust where it needs to be
• Cascading Failures in Interdependent Networks with Multiple Supply-Demand Links and Functionality Thresholds
• Synchronization in Weighted Uncorrelated Complex Networks in a Noisy Environment: Optimization and Connections with Transport Efficiency
• Phase transition in a directed traffic flow network
• Minimum Dominating Sets in Scale-Free Network Ensembles
• Explicit determination of mean first-passage time for random walks on deterministic uniform recursive trees
• Complete Condensation in a Zero Range Process on Scale-Free Networks
• Googling Social Interactions: Web Search Engine Based Social Network Construction
• Epidemic spreading in evolving networks
• Geographical Coarsegraining of Complex Networks
• Random walk and trapping processes on scale-free networks
• A general geometric growth model for pseudofractal scale-free web
• Dynamics of opinion formation in a small-world network
• Exact Solution for the Time Evolution of Network Rewiring Models
• Spectral dimensions of hierarchical scale-free networks with shortcuts
• Mapping the Structure of Directed Networks: Beyond the "Bow-tie" Diagram
• Epidemic spreading with time delay in complex networks
• Spectral properties of complex networks
• Belief-propagation algorithm and the Ising model on networks with arbitrary distributions of motifs
• Network dynamics of ongoing social relationships
• Complete trails of co-authorship network evolution
• Physical realizability of small-world networks
• Condensation and Extreme Value Statistics
• Exact analytical solution of average path length for Apollonian networks
• The Nonequilibrium Nature of Culinary Evolution
• Stochastic dynamical model of a growing network based on self-exciting point process
• Homogeneous complex networks
• Dynamic critical behavior of the XY model in small-world networks
• Topological Percolation on Hyperbolic Simplicial Complexes
• Analytic solution of a static scale-free network model
• Loops structure of the Internet at the Autonomous System Level
• Efficiency of quantum and classical transport on graphs
• The networked seceder model: Group formation in social and economic systems
• Evolution and structure of technological systems - An innovation output network
• Constrained Markovian dynamics of random graphs
• Perturbation: the Catastrophe Causer in Scale-Free Networks
• Organization of modular networks
• Computational complexity arising from degree correlations in networks
• Consensus formation on coevolving networks: groups' formation and structure
• The role of clustering and gridlike ordering in epidemic spreading
• Routes to thermodynamic limit on scale-free networks
• Emergent multistability and frustration in phase-repulsive networks of oscillators
• Sparse repulsive coupling enhances synchronization in complex networks
• Scale-free networks with exponent one
• Non-consensus opinion models on complex networks
• Search in weighted complex networks
• Cavity and replica methods for the spectral density of sparse symmetric random matrices
• Nonequilibrium phase transitions and finite size scaling in weighted scale-free networks
• Distance-d covering problems in scale-free networks with degree correlations
• Statistics of Cycles: How Loopy is your Network?
• Synchronization in symmetric bipolar population networks
• Uncovering missing links with cold ends
• Stochastic Opinion Formation in Scale-Free Networks
• Novel scaling limits for critical inhomogeneous random graphs
• Generation of arbitrarily two-point correlated random networks
• BKT-like transition in the Potts model on an inhomogeneous annealed network
• Geographical Embedding of Scale-Free Networks
• Network Geometry and Complexity
• Stochastic cellular automata model of neural networks
• Tree Networks with Causal Structure
• Analyzing complex networks through correlations in centrality measurements
• The shortest path to complex networks
• Epidemic Dynamics of Interacting Two Particle Species on Scale-free Networks
• Scale free networks from a Hamiltonian dynamics
• How single neuron properties shape chaotic dynamics and signal transmission in random neural networks
• Synchronizations in small-world networks of spiking neurons: Diffusive versus sigmoid couplings
• Farey Graphs as Models for Complex Networks
• Emergence of Zipf's Law in the Evolution of Communication
• Number of cliques in random scale-free network ensembles
• Collective versus hub activation of epidemic phases on networks
• Scale-invariant statistics of period in directed earthquake network
• Random Walks on Directed Networks: the Case of PageRank
• Analysis of scale-free networks based on a threshold graph with intrinsic vertex weights
• Mean-field analysis of the q-voter model on networks
• Does dynamics reflect topology in directed networks?
• Towards physical laws for software architecture
• Bosonic reaction-diffusion processes on scale-free networks
• Epidemic threshold in directed networks
• Betweenness centrality of teams in social networks
• Spin Glass Phase Transition on Scale-Free Networks
• Maximizing Influence Propagation in Networks with Community Structure
• Scaling in directed dynamical small-world networks with random responses
• Biased Percolation on Scale-free Networks
• Quantum statistics in complex networks
• Exact Solutions for Network Rewiring Models
• Adaptation and learning of molecular networks as a description of cancer development at the systems-level: Potential use in anti-cancer therapies
• Dynamics on Complex Networks and Applications
• The Dynamics of Internet Traffic: Self-Similarity, Self-Organization, and Complex Phenomena
• Using graph concepts to understand the organization of complex systems
• Weighted Network of Chinese Nature Science Basic Research
• Geographical effects on cascading breakdowns of scale-free networks
• An extended formalism for preferential attachment in heterogeneous complex networks
• Stationary and dynamical properties of a zero range process on scale-free networks
• The Web of Connections between Tourism Companies in Elba: Structure and Dynamics
• PageRank model of opinion formation on social networks
• Slow transport by continuous time quantum walks
• Evolving small-world scale-free networks consist of cliques
• Nonlocal evolution of weighted scale-free networks
• The Network of Collaboration Among Rappers and its Community Structure
• Authorship Attribution Based on Life-Like Network Automata
• Correlations in Bipartite Collaboration Networks
• Modeling Structure and Resilience of the Dark Network
• Mapping Koch curves into scale-free small-world networks
• The distance backbone of complex networks
• Counting spanning trees in a small-world Farey graph
• Trapping in scale-free networks with hierarchical organization of modularity
• Gaussian model of explosive percolation in three and higher dimensions
• Unveiling community structures in weighted networks
• Spectral properties of the Google matrix of the World Wide Web and other directed networks
• Magnetization reversal in spin patterns with complex geometry
• A Mutual Attraction Model for Both Assortative and Disassortative Weighted Networks
• Minimal contagious sets in random regular graphs
• Sparse random graphs with clustering
• Random field Ising model and community structure in complex networks
• Dynamical Motifs: Building Blocks of Complex Network Dynamics
• The Spread of Opinions and Proportional Voting
• Intrinsic degree-correlations in static model of scale-free networks
• Network science: a review focused on tourism
• Distinct scalings for mean first-passage time of random walks on scale-free networks with the same degree sequence
• Critical behavior of the Ising model in annealed scale-free networks
• The urban economy as a scale-free network
• Optimization of network structure to random failures
• Evolving small-world networks with geographical attachment preference
• Effective epidemic containment strategy in hypergraphs
• Dense Power-law Networks and Simplicial Complexes
• Scaling in Small-World Resistor Networks
• Aging and scaling of aftershocks
• Local versus Global Knowledge in the Barabasi-Albert scale-free network model
• Crossovers in ScaleFree Networks on Geographical Space
• Mesoscopic analysis of online social networks - The role of negative ties
• Deterministic Modularity Optimization
• Random acyclic networks
• Explosion in weighted Hyperbolic Random Graphs and Geometric Inhomogeneous Random Graphs
• The Spread of Infectious Disease with Household-Structure on the Complex Networks
• Cluster approximations for probabilistic systems: a new perspective of epidemiological modelling
• Load distribution in weighted complex networks
• Dynamical organization towards consensus in the Axelrod model on complex networks
• New approaches to model and study social networks
• Condensation in Temporally Correlated Zero-Range Dynamics
• A general model for collaboration networks
• Interplay between network structure and self-organized criticality
• Dynamic Modeling of the Electric Transportation Network
• Growing network model for community with group structure
• Fractal scale-free networks resistant to disease spread
• The Degree Distribution of Random k-Trees
• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
• The Relation Between Global Migration and Trade Networks
• Random walks in modular scale-free networks with multiple traps
• Reaction-diffusion processes on correlated and uncorrelated scale-free networks
• Statistical Indicators of Collective Behavior and Functional Clusters in Gene Networks of Yeast
• Growing Scale-free Small-world Networks with Tunable Assortative Coefficient
• Networks based on collisions among mobile agents
• How to become a superhero
• Better synchronizability predicted by a new coupling method
• Integer Networks
• Average distance in a hierarchical scale-free network: an exact solution
• Accelerating, hyper-accelerating, and decelerating probabilistic networks
• Counting spanning trees in self-similar networks by evaluating determinants
• Scaling and precursor motifs in earthquake networks
• Heat conduction in simple networks: The effect of inter-chain coupling
• Dynamic behaviors in directed networks
• The synchronizability of highly clustered scale-free networks
• Addition-Deletion Networks
• Smallest small-world network
• Unraveling the dynamics of growth, aging and inflation for citations to scientific articles from specific research fields
• The Aging Effect in Evolving Scientific Citation Networks
• A comprehensive weighted evolving network model
• Community Structure in Large Networks: Natural Cluster Sizes and the Absence of Large Well-Defined Clusters
• Re-inventing Willis
• Spectral plots and the representation and interpretation of biological data
• Delocalization transition for the Google matrix
• A Generalized Approach to Complex Networks
• Geographical networks evolving with optimal policy
• Network Marketing on a Small-World Network
• Topological features of proteins from amino acid residue networks
• An efficient strategy to suppress epidemic explosion in heterogeneous metapopulation networks
• Loss of sustainability in scientific work
• A Group-Based Yule Model for Bipartite Author-Paper Networks
• Community consistency determines the stability transition window of power-grid nodes
• Degree-dependent intervertex separation in complex networks
• Spectral properties and the accuracy of mean-field approaches for epidemics on correlated networks
• Comparative Graph Theoretical Characterization of Networks of Spam and Legitimate Email
• Homological percolation transitions in growing simplicial complexes
• Six Susceptible-Infected-Susceptible Models on Scale-free Networks
• Quantum Gravity as an Information Network: Self-Organization of a 4D Universe
• Latent geometry of bipartite networks
• A Hebbian approach to complex network generation
• An explanatory model for food-web structure and evolution
• Evolving networks through deletion and duplication
• Structural stability of interaction networks against negative external fields
• Walks on Apollonian networks
• Walks on weighted networks
• Weighted Scale-free Networks in Euclidean Space Using Local Selection Rule
• Cascading failures in interdependent networks with finite functional components
• Uncovering the topology of configuration space networks
• Critical phase in non-conserving zero-range processes and equilibrium networks
• Effect of node deleting on network structure
• Neural graph embeddings as explicit low-rank matrix factorization for link prediction
• Hierarchical Features of Large-Scale Cortical Connectivity
• Condensation in zero-range processes on inhomogeneous networks
• A directed network model for World-Wide Web
• Life, Death and Preferential Attachment
• Epidemic spreading in lattice-embedded scale-free networks
• Families and clustering in a natural numbers network
• Effective dimensions and percolation in hierarchically structured scale-free networks
• Navigation in a small world with local information
• Solar Flares Complex Networks
• Sensitivity of directed networks to the addition and pruning of edges and vertices
• Effects of local population structure in a reaction-diffusion model of a contact process on metapopulation networks
• The Network of Scientific Collaborations within the European Framework Programme
• Local-world evolving networks with tunable clustering
• Theory of Networked Minority Games based on Strategy Pattern Dynamics
• Self-avoiding walks and connective constants in small-world networks
• Complex networks created by aggregation
• Choosing among alternative histories of a tree
• Dynamical replica analysis of disordered Ising spin systems on finitely connected random graphs
• Network Automata: Coupling structure and function in real-world networks
• A coevolving model based on preferential triadic closure for social media networks
• Navigating ultrasmall worlds in ultrashort time
• A unified model for Sierpinski networks with scale-free scaling and small-world effect
• Majority-vote model on triangular, honeycomb and Kagome lattices
• Topologies and Laplacian spectra of a deterministic uniform recursive tree
• Phase transitions in social networks
• Learning about knowledge: A complex network approach
• On the topologic structure of economic complex networks: Empirical evidence from large scale payment network of Estonia
• Phase transition in the Ising model on a small-world network with distance-dependent interactions
• Nonextensive aspects of small-world networks
• Synchronization Landscapes in Small-World-Connected Computer Networks
• A Small World Network of Prime Numbers
• Perturbing General Uncorrelated Networks
• Network Coordination and Synchronization in a Noisy Environment with Time Delays
• Multicomponent reaction-diffusion processes on complex networks
• Constrained spin dynamics description of random walks on hierarchical scale-free networks
• Effect of degree correlations on the loop structure of scale-free networks
• Quantum and classical diffusion in small-world networks
• Phase transition and hysteresis in scale-free network traffic
• Information dynamics algorithm for detecting communities in networks
• Statistical validation of high-dimensional models of growing networks
• Extraordinary variability and sharp transitions in a maximally frustrated dynamic network
• Entropy production at criticality in a nonequilibrium Potts model
• Impact of degree heterogeneity on the behavior of trapping in Koch networks
• Critical phenomena and noise-induced phase transitions in neuronal networks
• Deterministic hierarchical networks
• Handbook of Network Analysis [KONECT -- the Koblenz Network Collection]
• Complex Network Properties of Chinese Natural Science Basic Research
• Network model of human language
• An overview of epidemic models with phase transitions to absorbing states running on top of complex networks
• Fluctuation-dissipation relations for complex networks
• How Famous is a Scientist? -- Famous to Those Who Know Us
• Relevance of backtracking paths in epidemic spreading on networks
• Slow dynamics and rare-region effects in the contact process on weighted tree networks
• Ising model in clustered scale-free networks
• Recursive solutions for Laplacian spectra and eigenvectors of a class of growing treelike networks
• Measuring degree-degree association in networks
• Empirical study on clique-degree distribution of networks
• Sampling properties of directed networks
• Ecological analysis of world trade
• Diffusive Capture Process on Complex Networks
• Multistage Random Growing Small-World Networks with Power-law degree Distribution
• Correlations in Scale-Free Networks: Tomography and Percolation
• Spatio-temporal Dynamics in the Origin of Genetic Information
• Network nestedness as generalized core-periphery structures
• Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart
• Growing networks under geographical constraints
• Path-integral approach to the dynamics in sparse random network
• Average Distance in a General Class of Scale-Free Networks with Underlying Geometry
• Community Detection in Dynamic Networks via Adaptive Label Propagation
• Effects of accelerating growth on the evolution of weighted complex networks
• Recursive weighted treelike networks
• Coevolving complex networks in the model of social interactions
• Renormalization group for evolving networks
• Modular synchronization in complex networks with a gauge Kuramoto model
• Spontaneous Self-Assembly of Transcription Factor Based Gene Regulation Networks
• Socioeconomic Networks with Long-Range Interactions
• An Evolving model of online bipartite networks
• Transition from fractal to non-fractal scalings in growing scale-free networks
• What are the Best Hierarchical Descriptors for Complex Networks?
• Patterns in randomly evolving networks: Idiotypic networks
• Scaling properties in spatial networks and its effects on topology and traffic dynamics
• Parking on a Random Tree
• Spin glass behavior of the antiferromagnetic Ising model on a scale-free network
• What is the Entropy of a Social Organization?
• Topological structure and the H-index in complex networks
• Scaling of mean first-passage time as efficiency measure of nodes sending information on scale-free Koch networks
• Condensation phase transitions of symmetric conserved-mass aggregation model on complex networks
• Layer-layer competition in multiplex complex networks
• Complex Network Structure of Flocks in the Standard Vicsek Model
• Associative Recall in Non-Randomly Diluted Neuronal Networks
• The Impact of Competing Time Delays in Coupled Stochastic Systems
• Network synchronization with periodic coupling
• Generalized Voter-like model on activity driven networks with attractiveness
• A connection between MAX $\kappa$-CUT and the inhomogeneous Potts spin glass in the large degree limit
• Statistics of cycles in large networks
• Distribution of infected mass in disease spreading in scale-free networks
• Statistics of Weighted Networks
• Probing the network structure of health deficits in human aging
• Probabilistic prediction in scale-free networks: Diameter changes
• Percolation on correlated random networks
• $(k,q)$-core decomposition of hypergraphs
• Scale-free download network for publications
• Fast generation of random connected graphs with prescribed degrees
• Discrete surface growth process as a synchronization mechanism for scale free complex networks
• Self-organizing social hierarchies on scale-free networks
• Revising the simple measures of assortativity in complex networks
• Irreversible Opinion Spreading on Scale-Free Networks
• A geometric growth model interpolating between regular and small-world networks
• Phase transition for the Maki-Thompson rumour model on a small-world network
• Critical exponents of the explosive percolation transition
• Influences of degree inhomogeneity on average path length and random walks in disassortative scale-free networks
• Designer Nets from Local Strategies
• Extreme fluctuations in noisy task-completion landscapes on scale-free networks
• Bootstrap percolation on geometric inhomogeneous random graphs
• Maximum flow and topological structure of complex networks
• Universal Scaling Behavior of Clustering Coefficient Induced by Deactivation Mechanism
• Scaling in the structure of directory trees in a computer cluster
• Random Birth-and-Death Networks
• Synchronizabilities of Networks: A New index
• Random Holographic "Large Worlds" with Emergent Dimensions
• Finite size effects in Barabasi-Albert growing networks
• Evolving Scale-Free Network Model with Tunable Clustering
• Coevolving nonlinear voter model with triadic closure
• On the Widespread Occurrence of the Inverse Square Distribution in Social Sciences and Taxonomy
• Critical phenomena on scale-free networks: logarithmic corrections and scaling functions
• Global organization of protein complexome in the yeast Saccharomyces cerevisiae
• Minimal models of weighted scale-free networks
• The transition towards immortality: non-linear autocatalytic growth of citations to scientific papers
• Lower bound of assortativity coefficient in scale-free networks
• Duality between equilibrium and growing networks
• Intervention Threshold for Epidemic Control in Susceptible-Infected-Recovered Metapopulation Models
• A topological approach to neural complexity
• Comparison of social and physical free energies on a toy model
• On the numerical study of percolation and epidemic critical properties in networks
• Anomalous biased diffusion in networks
• Statistically consistent coarse-grained simulations for critical phenomena in complex networks
• Motion of condensates in non-Markovian zero-range dynamics
• Emergence of scale-free close-knit friendship structure in online social networks
• Random walks and diameter of finite scale-free networks
• From regular to growing small-world networks
• Effects of degree distribution in mutual synchronization of neural networks
• Agent-Based Models in Social Physics
• Modelling Excess Mortality in Covid-19-like Epidemics
• Supremacy distribution in evolving networks
• Asymptotic theory for the multidimensional random on-line nearest-neighbour graph
• A simple asymmetric evolving random network
• Resonant response of forced complex networks: the role of topological disorder
• Link and subgraph likelihoods in random undirected networks with fixed and partially fixed degree sequence
• The impact of constrained rewiring on network structure and node dynamics
• Real-space Condensation in Stochastic Mass Transport Models
• Correlated electrons systems on the Apollonian network
• Synchronization of networks with variable local properties
• The Bass diffusion model on finite Barabasi-Albert networks
• Effect of degree correlations above the first shell on the percolation transition
• Preferential Attachment in Online Networks: Measurement and Explanations
• Parallel Generation of Massive Scale-Free Graphs
• Communication and correlation among communities
• Dynamic scaling, data-collapse and self-similarity in Barabási-Albert networks
• On the Degree Sequence of Random Geometric Digraphs
• Enhancing Robustness and Immunization in geographical networks
• Coevolutionary dynamics on scale-free networks
• Fluctuations analysis in complex networks modeled by hidden variable models. Necessity of a large cut-off in hidden-variable models
• Mandelbrot Law of Evolving Networks
• Limit theory for the random on-line nearest-neighbour graph
• Universality class of site and bond percolation on multi-multifractal scale-free planar stochastic lattice
• Synchronous and Asynchronous Recursive Random Scale-Free Nets
• Complex networks and human language
• Towards Google matrix of brain
• Topological fractal networks introduced by mixed degree distribution
• Generating correlated networks from uncorrelated ones
• Networking genetic regulation and neural computation: Directed network topology and its effect on the dynamics
• Correlations in interacting systems with a network topology
• Ising Model on a random network with annealed or quenched disorder
• Models and average properties of scale-free directed networks
• Scale-free networks emerging from multifractal time series
• Sync in Complex Dynamical Networks: Stability, Evolution, Control, and Application
• Uniform synchronous criticality of diversely random complex networks
• Irreversible growth of binary mixtures on small-world networks
• Explosive percolation in graphs
• Mesoscale symmetries explain dynamical equivalence of food webs
• Nonlinear Barabási-Albert Network
• Emergence of multiscaling in heterogeneous complex networks
• Top Eigenpair Statistics for Weighted Sparse Graphs
• Not all interventions are equal for the height of the second peak
• Dynamics-Driven Evolution to Structural Heterogeneity in Complex Networks
• Recovery time after localized perturbations in complex dynamical networks
• Localization, epidemic transitions, and unpredictability of multistrain epidemics with an underlying genotype network
• Shortest path discovery of complex networks
• Characterization of Subgraphs Relationships and Distribution in Complex Networks
• Hierarchical organization of H. Eugene Stanley scientific collaboration community in weighted network representation
• Irreversible Aggregation and Network Renormalization
• A Complex Network Approach to Topographical Connections
• Scaling of load in communications networks
• Phase transition in the rich-get-richer mechanism due to finite-size effects
• The q-component static model : modeling social networks
• On the Fourier transform of a quantitative trait: Implications for compressive sensing
• Exact eigenvalue spectrum of a class of fractal scale-free networks
• Fluctuation of the download network
• Distribution of Edge Load in Scale-free Trees
• Stochastic and mixed flower graphs
• Statistical mechanics of random graphs
• Statistical networks emerging from link-node interactions
• Phase transitions on Markovian bipartite graphs - an application of the zero-range process
• Diffusion-annihilation proecesses in weighted scale-free networks with identical degree sequence
• Interplay between HIV/AIDS Epidemics and Demographic Structures Based on Sexual Contact Networks
• Dynamic Hidden-Variable Network Models
• Thermodynamic forces, flows, and Onsager coefficients in complex networks
• Structure and dynamics of growing networks of Reddit threads
• Antiferromagnetic Ising model in scale-free networks
• A universal assortativity measure for network analysis
• Growth-Driven Percolations: The Dynamics of Community Formation in Neuronal Systems
• Critical behavior and correlations on scale-free small-world networks. Application to network design
• Optimal Size of a Complex Network
• Scale-free networks resistant to intentional attacks
• A complex network analysis of hypertension-related genes
• Socio-economic inequalities: a statistical physics perspective
• Thermodynamic approach for community discovering within the complex networks: LiveJournal study
• Preferential attachment with information filtering - node degree probability distribution properties
• Organization and evolution of synthetic idiotypic networks
• Statistical mechanics of coevolving spin system
• An energy-based interaction model for population opinion dynamics with topic coupling
• Link-space formalism for network analysis
• The role of detachment of in-links in scale-free networks
• Instability in a Network Coevolving with a Particle System
• Stratification in the Preferential Attachment Network
• Complex Grid Computing
• Degree Landscapes in Scale-Free Networks
• Netons: Vibrations of Complex Networks
• Extreme Fluctuations in Stochastic Network Coordination with Time Delays
• Influence of Local Interactions in the Bak-Sneppen Model and Economic Applications
• Disentangling Interpretable Generative Parameters of Random and Real-World Graphs
• Scale-free collaboration networks: An author name disambiguation perspective
• Scale-free networks with tunable degree distribution exponents
• Effects of aging and links removal on epidemic dynamics in scale-free networks
• Predicting language diversity with complex network
• Statistics of leaders and lead changes in growing networks
• Random field Ising model on networks with inhomogeneous connections
• Structural and spectral properties of a family of deterministic recursive trees: Rigorous solutions
• Random graph model with power-law distributed triangle subgraphs
• A neuronal network model of interictal and recurrent ictal activity
• Emergence of scale-free networks from local connectivity and communication trade-offs
• Phase transitions for scaling of structural correlations in directed networks
• Slow relaxation in the Ising model on a small-world network with strong long-range interactions
• Avalanches in complex spin networks
• Impact of noise and damage on collective dynamics of scale-free neuronal networks
• Contact graphs of disk packings as a model of spatial planar networks
• Evolving network - simulation study. From regular lattice to scale free network
• Distance-dependent connectivity: Yet Another Approach to the Small World Phenomenon
• An optimal network for passenger traffic
• Maximal modularity and the optimal size of parliaments
• Derivation of the percolation threshold for the network model of Barabasi and Albert
• Social Climber attachment in forming networks produces phase transition in a measure of connectivity
• Propinquity drives the emergence of network structure and density
• Michaelis-Menten Dynamics in Complex Heterogeneous Networks
• Network analysis of online bidding activity
• K-Scaffold subgraphs of Complex networks
• Non-converging hysteretic cycles in random spin networks
• On the pinning strategy of complex networks
• Degree distribution and scaling in the Connecting Nearest Neighbors model
• Fundamental Structural Constraint of Random Scale-Free Networks
• The Magnetic Eden Model
• Emergence of Cooperation in Non-scale-free Networks
• Topology of Cell-Aggregated Planar Graphs
• Connectivity and Dynamics of Neuronal Networks as Defined by the Shape of Individual Neurons
• Scaling of disordered recursive networks
• How to calculate the main characteristics of random uncorrelated networks
• Transfer of Energy, Potential, and Current by Alfvén Waves in Solar Flares
• The interplay of university and industry through the FP5 network
• Transport Properties of Random Walks on Scale-Free/Regular-Lattice Hybrid Networks
• The rigorous solution for the average distance of a Sierpinski network
• Finite Size Effects for the Ising Model on Random Graphs with Varying Dilution
• Advertising and irreversible opinion spreading in complex social networks
• Bypass rewiring and robustness of complex networks
• Multistage onset of epidemics in heterogeneous networks
• Generating global network structures by triad types
• Size of quantum networks
• Gravity Effects on Information Filtering and Network Evolving
• Modeling interacting dynamic networks: II. Systematic study of the statistical properties of cross-links between two networks with preferred degrees
• 1D Three-state mean-field Potts model with first- and second-order phase transitions
• Condensates in Driven Aggregation Processes
• Self-avoiding walks and connective constants in clustered scale-free networks
• Dynamic rewiring in small world networks
• Comment on "Maximal planar networks with large clustering coefficient and power-law degree distribution"
• Modularity "for free" in genome architecture?
• Flux distribution in metabolic networks close to optimal biomass production
• The multiple effects of gradient coupling on network synchronization
• Characteristics of reaction-diffusion on scale-free networks
• Eigenvector localization as a tool to study small communities in online social networks
• Formation of Scientific Fields as a Universal Topological Transition
• Some Challenges in Monitoring Epidemics
• Network topology of the Argentine interbank money market
• Vulnerability of Networks Against Critical Link Failures
• An alternative approach to determining average distance in a class of scale-free modular networks
• Knowledge Acquisition by Networks of Interacting Agents in the Presence of Observation Errors
• Rounding of first-order phase transitions and optimal cooperation in scale-free networks
• Vertex labeling and routing in expanded Apollonian networks
• Properties of weighted complex networks
• Mesoscopics and fluctuations in networks
• "Winner takes it all": strongest node rule for evolution of scale free networks
• Inhomogeneous percolation models for spreading phenomena in random graphs
• A Game Theoretic Perspective on Network Topologies
• Host--parasite models on graphs
• Vertex routing models
• Finite-time fluctuations in the degree statistics of growing networks
• Preferential attachment without vertex growth: emergence of the giant component
• Activity patterns on random scale-free networks: Global dynamics arising from local majority rules
• Generation of scale-free networks using a simple preferential rewiring dynamics
• Random Walk Access Times on Partially-Disordered Complex Networks: an Effective Medium Theory
• How visas shape and make visible the geopolitical architecture of the planet
• Eigenvalue ratio statistics of complex networks: Disorder vs. Randomness
• Average distance in growing trees
• Network rewiring in the $r$-$K$ plane
• Structural phase transition in evolving networks
• Emergent motion of condensates in mass-transport models
• Bose-Einstein condensation in random directed networks
• The multiplicative coalescent, inhomogeneous continuum random trees, and new universality classes for critical random graphs
• Live and Dead Nodes
• Scale-freeness for networks as a degenerate ground state: A Hamiltonian formulation
• Ferromagnetic fluid as a model of social impact
• Characterising Web Site Link Structure
• Preservation of network Degree Distributions from non-uniform failures
• Graph Theory and Networks in Biology
• Static Pairwise Annihilation in Complex Networks
• Critical Space-Time Networks and Geometric Phase Transitions from Frustrated Edge Antiferromagnetism
• Null-eigenvalue localization of quantum walks on real-world complex networks
• Reentrant phase transition in a predator-prey model
• Diffusion Processes on Small-World Networks with Distance-Dependent Random-Links
• Simplicial models of social aggregation I
• On leaders and condensates in a growing network
• Complex Networks: effect of subtle changes in nature of randomness
• $p$-th Clustering coefficients $C_p$ and Adjacent Matrix for Networks: Formulation based on String
• Higher-order distributions and nongrowing complex networks without multiple connections
• Bounding robustness in complex networks under topological changes through majorization techniques
• Crossover from weak to strong disorder regime in the duration of epidemics
• Network evolution towards optimal dynamical performance
• Clusterization, frustration and collectivity in random networks
• The Magic of Networks Grown by Redirection
• War pact model of shrinking networks
• A minimalist model for co-evolving supply and drainage networks
• Effects of neighbourhood size and connectivity on spatial Continuous Prisoner's Dilemma
• Greedy Routing and the Algorithmic Small-World Phenomenom
• Slowly evolving random graphs II: Adaptive geometry in finite-connectivity Hopfield models
• Rank-based model for weighted network with hierarchical organization and disassortative mixing
• Degree and component size distributions in generalized uniform recursive tree
• Steady States of Epidemic Spreading in Small-World Networks
• Content based network model with duplication and divergence
• Growing Networks: Limit in-degree distribution for arbitrary out-degree one
• A Bose-Einstein Model of Particle Multiplicity Distributions
• Complex networks generated by the Penna bit-string model: Emergence of small-world and assortative mixing
• Stochastic model for scale-free networks with cutoffs
• Immunization for complex network based on the effective degree of vertex
• Nucleation pathways on complex networks
• Complex Networks: New Concepts and Tools for Real-Time Imaging and Vision
• Threshold-Controlled Global Cascading in Wireless Sensor Networks
• Potts Model On Random Trees
• Effects of substrate network topologies on competition dynamics
• Explaining the stellar initial mass function with the theory of spatial networks
• $p$-th Clustering coefficients and $q$-$th$ degrees of separation based on String-Adjacent Formulation
• Heterogeneous information network model for equipment-standard system
• Inverse transitions in a spin-glass model on a scale-free network
• Triadic time series motifs
• Maximal entropy random networks with given degree distribution
• Static and dynamic behavior of multiplex networks under interlink strength variation
• Traffic dynamics of packets generated with non-homogeneously selected sources and destinations in scale-free networks
• Diversity of Online Community Activities
• Percolation on a maximally disassortative network
• Heterogeneous network with distance dependent connectivity
• Voltage Distribution in Growing Conducting Networks
• Complex networks and public funding: the case of the 2007-2013 Italian program
• Internet data packet transport: from global topology to local queueing dynamics
• Distinct dynamical behavior in Erdős-Rényi networks, regular random networks, ring lattices, and all-to-all neuronal networks
• A simple bipartite graph projection model for clustering in networks
• Eigenvector localization in hypergraphs: pair-wise vs higher-order links
• Peak fraction of infected in epidemic spreading for multi-community networks
• A graph complexity measure based on the spectral analysis of the Laplace operator
• An Analysis on the Influence of Network Topologies on Local and Global Dynamics of Metapopulation Systems
• A measure for characterizing heavy-tailed networks
• "Conjectural" links in complex networks
• Ageing of complex networks
• A Toy Model for Cooperative Phenomena in Molecular Biology and the Utilization of Biochemical Applications of PNS in Genetic Applications
• Periodicity and Growth in a Lattice Gas with Dynamical Geometry
• Analytic solutions for links and triangles distributions in finite Barabási-Albert networks
• Feedback arcs and node hierarchy in directed networks
• Communication models with distributed transmission rates and buffer sizes
• Geometric properties of graph layouts optimized for greedy navigation
• Approaching the thermodynamic limit in equilibrated scale-free networks
• Deterministic scale-free networks created in a recursive manner
• Study of dynamic and static routing for improvement of the transportation efficiency on small complex networks
• Clone size distributions in networks of genetic similarity
• From Random Graph to Small World by Wandering
• Fluctuations of motifs and non self-averaging in complex networks. A self- vs non-self-averaging phase transition scenario
• Dependence of the average to-node distance on the node degree for random graphs and growing networks
• Optimization as a result of the interplay between dynamics and structure
• Generating multi-scaling networks with different types of nodes
• Spectral properties of disordered fully-connected graphs
• Community-detection cellular automata with local and long-range connectivity
• Synchronization in Small-World-Connected Computer Networks
• One-dimensional Ising model built on small-world networks: competing dynamics
• Extinction of Epidemics in Lattice Models with Quenched Disorder
• Network modules help the identification of key transport routes, signaling pathways in cellular and other networks
• Information content based model for the topological properties of the gene regulatory network of Escherichia coli
• Condensation phase transition in nonlinear fitness networks
• Coarse-grained Monte Carlo simulations of the phase transition of Potts model on weighted networks
• Potts model with q=3 and 4 states on directed Small-World network
• Strength Distribution in Derivative Networks
• Quantitative modeling of degree-degree correlation in complex networks
• Degree distribution of shortest path trees and bias of network sampling algorithms
• Resilience of antagonistic networks with regard to the effects of initial failures and degree-degree correlations
• Structural and temporal heterogeneities on networks
• Pseudo-Darwinian evolution of physical flows in complex networks
• Percolation Transitions in Growing Networks Under Achlioptas Processes: Analytic Solutions
• The Atlas for the Aspiring Network Scientist
• Bifractality of fractal scale-free networks
• Stability condition of the steady oscillations in aggregation models with shattering process and self-fragmentation
• Eigenvalue Preferential Attachment Networks A Dandelion Structure
• Exploring Academic Influence of Algorithms by Co-occurrence Network Based on Full-text of Academic Papers
• Termination of Multipartite Graph Series Arising from Complex Network Modelling
• Random walk in degree space and the time-dependent Watts-Strogatz model
• Structural Properties of Networks Grown via an Achlioptas Process
• Random degree-degree correlated networks
• Russian interbank networks: main characteristics and stability with respect to contagion
• Inhomogeneous substructures hidden in random networks
• Pair Formation within Multi-Agent Populations
• Degree distribution of complex networks from statistical mechanics principles
• Phase space patterns of quantum transport on ordered and disordered networks
• Evolving complex networks with conserved clique distributions
• Simple reaction-diffusion population model on scale-free networks
• Small-Worlds, Mazes and Random Walks
• Some Considerations on Six Degrees of Separation from A Theoretical Point of View
• Characteristics of Molecular-biological Systems and Process-network Synthesis
• Weighted networks of scientific communication: the measurement and geometrical role of weight
• The Network of Mexican Cities
• Boundary drive induced formation of aggregate condensates in stochastic transport with short-range interactions
• Characterization of differentially expressed genes using high-dimensional co-expression networks
• Link Biased Strategies in Network Formation Games
• Self-Coordinated Corona Graphs: a model for complex networks
• Discrete Scale Invariance in Scale Free Graphs
• Graph spectra as a systematic tool in computational biology
• Characterizing the Diversity of Dynamics in Complex Networks Without Border Effects
• Unusual percolation in simple small-world networks
• Emergence of Scale-Free Syntax Networks
• Absence of small-world effects at the quantum level and stability of the quantum critical point
• Cost of material or information flow in complex transportation networks
• Error-correcting codes on scale-free networks
• Competition and evolution in restricted space
• Analytic Solution to Clustering Coefficients on Weighted Networks
• Coevolutionary Dynamics of Group Interactions: Coevolving Nonlinear Voter Models
• Memory effect in growing trees
• Tsallis mapping in growing complex networks with fitness
• Realistic network growth using only local information: From random to scale-free and beyond
• The Fate of Ernst Ising and the Fate of his Model
• Degree Distribution of Competition-Induced Preferential Attachment Graphs
• Solvable Metric Growing Networks
• A program generating homogeneous random graphs with given weights
• From the Grid to the Smart Grid, Topologically
• Demographic and Structural Characteristics to Rationalize Link Formation in Online Social Networks
• Reconstruction of evolved dynamic networks from degree correlations
• Randomness criteria in binary visibility graph perspective
• Heterogeneous nucleation on complex networks with mobile impurities
• On the Efficiency of Data Representation on the Modeling and Characterization of Complex Networks
• Computational Human Dynamics
• On a flow of substance in a channel of network that contains a main arm and two branches
• Evolution of citation networks with the hypergraph formalism
• Model of a motion of substance in a channel of a network consisting of two arms
• Scale-invariant statistics of the degrees of separation in directed earthquake network
• Self-Repairing Peer-to-Peer Networks
• Network growth with preferential attachment and without "rich get richer" mechanism
• Impact of local information in growing networks
• A Cascading Failure Model by Quantifying Interactions
• Comparing the reliability of networks by spectral analysis
• A cognitive-inspired model for self-organizing networks
• Coherence in complex networks of oscillators
• 2D pattern evolution constrained by complex network dynamics
• Markov-Binary Visibility Graph: a new method for analyzing Complex Systems
• The Evolution of the Cuban HIV/AIDS Network
• The condensation in non-growing complex networks under Boltzmann limit
• Link-Space and Network Analysis
• Mean-Field and Non-Mean-Field Behaviors in Scale-free Networks with Random Boolean Dynamics
• Network Rewiring Models
• Ad-hoc Limited Scale-Free Models for Unstructured Peer-to-Peer Networks
• Statistical model selection methods applied to biological networks
• Transport on randomly evolving trees
• Individual versus Social Benefit on the Heterogeneous Networks
• Magnetization of Antiferromagnetic Cactus Graph Model with Exact Dimer Ground State
• Point Mutations and Transitions Between Cellular Automata Attractor Basins
• Average shortest-path length in word-adjacency networks: Chinese versus English
• Abrupt transition of the efficient vaccination strategy in a population with heterogeneous fatality rates
• Phase-locking in $k$-partite networks of delay-coupled oscillators
• Scale-Free Overlay Topologies with Hard Cutoffs for Unstructured Peer-to-Peer Networks
• Network Growth via Preferential Attachment based on Prisoner's Dilemma Game
• Diagonal degree correlations vs. epidemic threshold in scale-free networks
• Color-Swap models and other stochastic processes for nongrowing scale-free networks
• Time series of Internet AS-level topology graphs: four patterns and one model
• Analysis of a Model for Generating Weakly Scale-free Networks
• Knowledge transfer in a tourism destination: the effects of a network structure
• Competition-Induced Preferential Attachment
• Impact of Random Failures and Attacks on Poisson and Power-Law Random Networks
• Does host contact structure reduce pathogen diversity?
• Globalization emergence in the European Patent Office (EPO) patent network
• The Tangled nature model with inheritance and constraint: Evolutionary ecology restricted by a conserved resource
• Symptoms of complexity in a tourism system
• Phase-space networks and connectivity of the kagome antiferromagnet
• On certain perturbations of the Erdos-Renyi random graph
• Random Walks on Complex Networks
• Probability distribution connected to stationary flow of substance in a channel of network containing finite number of arms
• R&D Strategy Document
• Statistical analysis of weighted networks
• Statistics of remote regions of networks
• Multiple complex networks emerging from individual interactions
• Generating online social networks based on socio-demographic attributes
• Two Categories of Indoor Interactive Dynamics of a Large-scale Human Population in a WiFi covered university campus
• Modeling Protein Contact Networks
• A Collaboration Network Model Of Cytokine-Protein Network
• Analytic solution for preferential attachment probabilities scheme
• Network of social groups or Let's have a party
• Growth Dynamics of Value and Cost Trade-off in Temporal Networks
• Connectivity transitions in networks with super-linear preferential attachment
• Modeling Heterogeneity in Networks using Uncertainty Quantification Tools
• Synchronization in Network Structures: Entangled Topology as Optimal Architecture for Network Design
• Structure of Business Firm Networks and Scale-Free Models
• The Degree Distribution of Random Birth-and-Death Network with Network Size Decline
• Embedded-Graph Theory
• Epidemics and Dimensionality in Hierarchical Networks
• A New Benchmark For Evaluation Of Graph-Theoretic Algorithms
• Incomplete information in scale-free networks
• Robustness of Link-prediction Algorithm Based on Similarity and Application to Biological Networks
• Scale-Free Network of Earthquakes
• Si nano-VINe: Electrical Percolation in Quantum-Confined nc-Si:SiO2 Systems
• Dynamical real-space renormalization group calculations with a new clustering scheme on random networks
• General Connectivity Distribution Functions for Growing Networks with Preferential Attachment of Fractional Power
• Human migration and the motion of substance in a channel of a network
• A hybrid multiscale coarse-grained method for dynamics on complex networks
• Studying the Emerging Global Brain: Analyzing and Visualizing the Impact of Co-Authorship Teams
• Temporal Reachability Graphs
• A Stochastic Model for the Evolution of the Web Allowing Link Deletion
• Effects of variations of load distribution on network performance
• The Truth about Power Laws: Theory and Reality
• Attack Vulnerability of Complex Networks in Center-Based Strategies
• Small-World File-Sharing Communities
• The mechanism of individual time cost heterogeneity promotes cooperation in snowdrift game