Towards real-world complexity: an introduction to multiplex networks

Abstract

Many real-world complex systems are best modeled by multiplex networks of interacting network layers. The multiplex network study is one of the newest and hottest themes in the statistical physics of complex networks. Pioneering studies have proven that the multiplexity has broad impact on the system's structure and function. In this Colloquium paper, we present an organized review of the growing body of current literature on multiplex networks by categorizing existing studies broadly according to the type of layer coupling in the problem. Major recent advances in the field are surveyed and some outstanding open challenges and future perspectives will be proposed.

20 pages, 10 figures

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Cited by in corpus (40)

• The physics of spreading processes in multilayer networks
• Modern temporal network theory: A colloquium
• Percolation on complex networks: Theory and application
• Multilayer Networks in a Nutshell
• Synchronization in networks with multiple interaction layers
• The new challenges of multiplex networks: measures and models
• Dynamics of social contagions with memory of non-redundant information
• Redundant interdependencies boost the robustness of multilayer networks
• Message passing theory for percolation models on multiplex networks with link overlap
• Two distinct transitions in spatially embedded multiplex networks
• Strength of weak layers in cascading failures on multiplex networks: case of the international trade network
• Understanding Human-Machine Networks: A Cross-Disciplinary Survey
• Cooperative epidemics on multiplex networks
• Spreading of localized attacks in spatial multiplex networks
• Controlling the uncertain response of real multiplex networks to random damage
• Large deviation theory of percolation on multiplex networks
• Multilayer Network Science: from Cells to Societies
• Model of human collective decision-making in complex environments
• Information transport in multiplex networks
• Contagion dynamics on hypergraphs with nested hyperedges
• Effects of temporal correlations in social multiplex networks
• Pair approximation for the $q$-voter model with independence on multiplex networks
• Majority-vote dynamics on multiplex networks
• Multilayer coevolution dynamics of the nonlinear voter model
• What does Big Data tell? Sampling the social network by communication channels
• Meta-food-chains as a many-layer epidemic process on networks
• Synchronization of wave structures in a heterogeneous multiplex network of 2D vdP lattices with attractive and repulsive intra-layer coupling
• k-core structure of real multiplex networks
• Relaxation time of the global order parameter on multiplex networks: the role of interlayer coupling in Kuramoto oscillators
• Link overlap influences opinion dynamics on multiplex networks: spin model approach
• Node-Adaptive Regularization for Graph Signal Reconstruction
• Multiplex reconstruction with partial information
• Ferromagnetic transition in a simple variant of the Ising model on multiplex networks
• Observability transition in multiplex networks
• LayerPlexRank: Exploring Node Centrality and Layer Influence through Algebraic Connectivity in Multiplex Networks
• The $q$-neighbor Ising model on multiplex networks with partial overlap of nodes
• Coevolutionary Dynamics of Group Interactions: Coevolving Nonlinear Voter Models
• Deep Learning Super-Diffusion in Multiplex Networks
• Dynamical leaps due to microscopic changes in multiplex networks
• Critical behaviors of cascading dynamics on multiplex two-dimensional lattices