The structure and dynamics of multilayer networks
arXiv:1407.0742 · doi:10.1016/j.physrep.2014.07.001
Abstract
In the past years, network theory has successfully characterized the interaction among the constituents of a variety of complex systems, ranging from biological to technological, and social systems. However, up until recently, attention was almost exclusively given to networks in which all components were treated on equivalent footing, while neglecting all the extra information about the temporal- or context-related properties of the interactions under study. Only in the last years, taking advantage of the enhanced resolution in real data sets, network scientists have directed their interest to the multiplex character of real-world systems, and explicitly considered the time-varying and multilayer nature of networks. We offer here a comprehensive review on both structural and dynamical organization of graphs made of diverse relationships (layers) between its constituents, and cover several relevant issues, from a full redefinition of the basic structural measures, to understanding how the multilayer nature of the network affects processes and dynamics.
In Press, Accepted Manuscript, Physics Reports 2014
References in corpus (61)
- Statistical physics of social dynamics
- Synchronization in complex networks
- Evolutionary games on graphs
- Critical phenomena in complex networks
- Evolutionary dynamics of group interactions on structured populations: A review
- Efficient Immunization Strategies for Computer Networks and Populations
- Diffusion dynamics on multiplex networks
- Multirelational Organization of Large-scale Social Networks in an Online World
- An information-theoretic framework for resolving community structure in complex networks
- Communicability in complex networks
- First-passage times in complex scale-invariant media
- Emergence of network features from multiplexity
- Mixture models and exploratory analysis in networks
- Dynamical Organization of Cooperation in Complex Topologies
- Robustness of interdependent networks under targeted attack
- The backbone of the climate network
- Robust Detection of Dynamic Community Structure in Networks
- Voter Models on Heterogeneous Networks
- Heterogeneous aspirations promote cooperation in the prisoner's dilemma game
- Does a Single Zealot Affect an Infinite Group of Voters ?
- Enhancing complex-network synchronization
- On the Role of Zealotry in the Voter Model
- Modeling the Multi-layer Nature of the European Air Transport Network: Resilience and Passengers Re-scheduling under random failures
- Threshold effects for two pathogens spreading on a network
- Generic Absorbing Transition in Coevolution Dynamics
- Consensus formation on adaptive networks
- Random hypergraphs and their applications
- Degree mixing in multilayer networks impedes the evolution of cooperation
- Transport on coupled spatial networks
- Dynamics of jamming transitions in complex networks
- The entropy of randomized network ensembles
- Rewarding evolutionary fitness with links between populations promotes cooperation
- Assortativity Decreases the Robustness of Interdependent Networks
- Conservation laws for the voter model in complex networks
- Multidimensional Social Network in the Social Recommender System
- Entropy Rate of Diffusion Processes on Complex Networks
- Self-organization towards optimally interdependent networks by means of coevolution
- Synchronization in scale-free network with asymmetric coupling
- Analysis of complex contagions in random multiplex networks
- Analytical results for the Sznajd model of opinion formation
- Efficient and exact sampling of simple graphs with given arbitrary degree sequence
- Synchronization of interconnected networks: the role of connector nodes
- Congestion phenomena on complex networks
- Synchronization in networks of networks: the onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators
- Network synchronization of groups
- Heterogeneous Voter Models
- The robustness of interdependent clustered networks
- Decelerating microdynamics can accelerate macrodynamics in the voter model
- Alignment and integration of complex networks by hypergraph-based spectral clustering
- Biased imitation in coupled evolutionary games in interdependent networks
- Stability of Boolean Multilevel Networks
- Analysis of Neighbourhoods in Multi-layered Dynamic Social Networks
- Spatial Scaling in Model Plant Communities
- Voting and Catalytic Processes with Inhomogeneities
- Annealed and Mean-Field formulations of Disease Dynamics on Static and Adaptive Networks
- Spreading of infectious diseases on heterogeneous populations: multi-type network approach
- Correlations between structure and dynamics in complex networks
- Shortest Path Discovery in the Multi-layered Social Network
- Dynamics of Vacillating Voters
- Topological Measure Locating the Effective Crossover between Segregation and Integration in a Modular Network
- Effects of degree distribution in mutual synchronization of neural networks
Cited by in corpus (80)
- Community detection in networks: A user guide
- Statistical physics of human cooperation
- Statistical physics of vaccination
- Evolutionary games on multilayer networks: A colloquium
- Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
- Unification of theoretical approaches for epidemic spreading on complex networks
- Statistical physics of crime: A review
- Spreading processes in Multilayer Networks
- Chimera states in a multilayer network of coupled and uncoupled neurons
- Nestedness in complex networks: Observation, emergence, and implications
- Identifying modular flows on multilayer networks reveals highly overlapping organization in social systems
- Chimera states in uncoupled neurons induced by a multilayer structure
- The Multilayer Temporal Network of Public Transport in Great Britain
- Synchronization in networks with multiple interaction layers
- Pattern formation in multiplex networks
- Spectral entropies as information-theoretic tools for complex network comparison
- Turing patterns in multiplex networks
- The many facets of community detection in complex networks
- Redundant interdependencies boost the robustness of multilayer networks
- k-Core percolation on multiplex networks
- Computational Socioeconomics
- Mapping higher-order network flows in memory and multilayer networks with Infomap
- Controllability of multiplex, multi-timescale networks
- Ideological and Temporal Components of Network Polarization in Online Political Participatory Media
- Functional Multiplex PageRank
- Cascades in multiplex financial networks with debts of different seniority
- Can we neglect the multi-layer structure of functional networks?
- Stability of a Giant Connected Component in a Complex Network
- Epidemic spreading and bond percolation in multilayer networks
- Multilayer weighted social network model
- Comparison of Communities Detection Algorithms for Multiplex
- New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps
- Immunization strategy for epidemic spreading on multilayer networks
- Critical noise of majority-vote model on complex networks
- Degree correlations in directed scale-free networks
- Competing spreading processes and immunization in multiplex networks
- Asymmetry-Induced Synchronization in Oscillator Networks
- Strategical incoherence regulates cooperation in social dilemmas on multiplex networks
- Non-identical multiplexing promotes chimera states
- Percolation in real multiplex networks
- Experiments with arbitrary networks in time-multiplexed delay systems
- Clustering determines the dynamics of complex contagions in multiplex networks
- Giant components in directed multiplex networks
- Fast and accurate determination of modularity and its effect size
- Finding network communities using modularity density
- Collective dynamics in two populations of noisy oscillators with asymmetric interactions
- Correlations between weights and overlap in ensembles of weighted multiplex networks
- Diverse types of percolation transitions
- On the evolution of cooperation under social pressure in multiplex networks
- Layer Communities in Multiplex Networks
- Multiplex visibility graphs to investigate recurrent neural networks dynamics
- Supersymmetric multiplex networks described by coupled Bose and Fermi statistics
- Transportation dynamics on coupled networks with limited bandwidth
- Multiplexing induced explosive synchronization in Kuramoto oscillators with inertia
- A picture is worth a thousand words: an empirical study on the influence of content visibility on diffusion processes within a virtual world
- The robustness of interdependent networks under the interplay between cascading failures and virus propagation
- Rumor propagation with heterogeneous transmission in social networks
- Percolation on networks with weak and heterogeneous dependency
- Is repulsion good for the health of Chimeras?
- Synchronization of oscillators through time-shifted common inputs
- Robust clustering of languages across Wikipedia growth
- Gaussian noise and the two-network frustrated Kuramoto model
- Directed Flow of Information in Chimera States
- A unified approach to percolation processes on multiplex networks
- Global topological control for synchronized dynamics on networks
- A Perron-Frobenius theory for block matrices associated to a multiplex network
- Emergent Network Modularity
- Relaxation time of the global order parameter on multiplex networks: the role of interlayer coupling in Kuramoto oscillators
- Quenched mean-field theory for the majority-vote model on complex networks
- Critical phenomena of a hybrid phase transition in cluster merging dynamics
- Cycles and Clustering in Multiplex Networks
- Modularity in Multilayer Networks using Redundancy-based Resolution and Projection-based Inter-Layer Coupling
- Approximation methods for the stability of complete synchronization on duplex networks
- Multidimensional epidemic thresholds in diffusion processes over interdependent networks
- Multilayer network analysis of nuclear reactions
- On Using Network Science in Mining Developers Collaboration in Software Engineering: A Systematic Literature Review
- Interplay of inhibition and multiplexing : Largest eigenvalue statistics
- Random walk in degree space and the time-dependent Watts-Strogatz model
- Inter-layer Degree Correlations in Heterogeneously Growing Multiplex Networks
- Information diffusion in interconnected heterogeneous networks