Coevolution and correlated multiplexity in multiplex networks

Abstract

Distinct channels of interaction in a complex networked system define network layers, which co-exist and co-operate for the system's function. Towards realistic modeling and understanding such multiplex systems, we introduce and study a class of growing multiplex network models in which different network layers coevolve, and examine how the entangled growth of coevolving layers can shape the overall network structure. We show analytically and numerically that the coevolution can induce strong degree correlations across layers, as well as modulate degree distributions. We further show that such a coevolution-induced correlated multiplexity can alter the system's response to dynamical process, exemplified by the suppressed susceptibility to a threshold cascade process.

5 pages, 4 figures, published in PRL

References in corpus (8)

• The Building Blocks of Economic Complexity
• Diffusion dynamics on multiplex networks
• Multirelational Organization of Large-scale Social Networks in an Online World
• Nonequilibrium phase transition in the coevolution of networks and opinions
• Growing multiplex networks
• Transport on coupled spatial networks
• Stability of Boolean Multilevel Networks
• Instability in a Network Coevolving with a Particle System

Cited by in corpus (53)

• Multilayer Networks
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• Evolutionary games on multilayer networks: A colloquium
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• Multiplex PageRank
• Multiple percolation transitions in a configuration model of network of networks
• Epidemics in partially overlapped multiplex networks
• Pattern formation in multiplex networks
• Towards real-world complexity: an introduction to multiplex networks
• The new challenges of multiplex networks: measures and models
• Hidden geometric correlations in real multiplex networks
• Threshold cascades with response heterogeneity in multiplex networks
• Link overlap, viability, and mutual percolation in multiplex networks
• Emergence of overlap in ensembles of spatial multiplexes and statistical mechanics of spatial interacting networks ensembles
• Multimodal urban mobility and multilayer transport networks
• Quantifying layer similarity in multiplex networks: a systematic study
• Non-linear growth and condensation in multiplex networks
• Epidemic Model with Isolation in Multilayer Networks
• Cross-Linked Structure of Network Evolution
• Strength of weak layers in cascading failures on multiplex networks: case of the international trade network
• Geometric correlations mitigate the extreme vulnerability of multiplex networks against targeted attacks
• Immunization strategy for epidemic spreading on multilayer networks
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• Growing Multiplex Networks with Arbitrary Number of Layers
• Exact Coupling Threshold for Structural Transition in Interconnected Networks
• Social contagions with communication channels alternation on multiplex networks
• Supersymmetric multiplex networks described by coupled Bose and Fermi statistics
• Multiplexity versus correlation: the role of local constraints in real multiplexes
• Effects of temporal correlations in social multiplex networks
• Epidemic spreading and immunization strategy in multiplex networks
• Dynamical origins of the community structure of multi-layer societies
• Pair approximation for the $q$-voter model with independence on multiplex networks
• Topological enslavement in evolutionary games on correlated multiplex networks
• Percolation of Hierarchical Networks and Networks of Networks
• Suppressed epidemics in multi-relational networks
• Complex Contagions with Timers
• Pareto optimality in multilayer network growth
• Bridging Online and Offline Social Networks: Multiplex Analysis
• Cycles and Clustering in Multiplex Networks
• Inference of Edge Correlations in Multilayer Networks
• Resilience by Structural Entrenchment: Dynamics of Single-Layer and Multiplex Networks Following Sudden Changes to Tie Costs
• The multi-layer network nature of systemic risk and its implications for the costs of financial crises
• Ferromagnetic transition in a simple variant of the Ising model on multiplex networks
• Optimizing spreading dynamics in interconnected networks
• Multilayer network analysis of nuclear reactions
• Inter-layer Degree Correlations in Heterogeneously Growing Multiplex Networks
• Synchronization in interacting Scale Free Networks
• Evolution of correlated multiplexity through stability maximization
• Designing Optimal Multiplex Networks for Certain Laplacian Spectral Properties
• Asymmetrically interacting spreading dynamics on complex layered networks
• Graphlets in multilayer networks