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The structure and dynamics of multilayer networks.

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Network theory now examines complex systems with multiple layers and time-varying interactions. This review covers structural and dynamical organization in multilayer networks, impacting processes and dynamics.

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Area of Science:

  • Complex systems science
  • Network science
  • Graph theory

Background:

  • Traditional network theory focused on single-layer interactions, neglecting temporal and contextual properties.
  • Recent advancements allow for analysis of time-varying and multilayer network structures.
  • Real-world systems exhibit multiplexity, requiring advanced network analysis.

Purpose of the Study:

  • To provide a comprehensive review of the structural and dynamical organization of multilayer networks.
  • To explore how the multilayer nature of networks influences system processes and dynamics.
  • To cover redefined structural measures for multilayer graphs.

Main Methods:

  • Review of existing literature on multilayer network theory.
  • Analysis of structural properties of graphs with diverse relationships (layers).
  • Examination of dynamical processes on multilayer networks.

Main Results:

  • Multilayer network analysis offers a more realistic representation of complex systems.
  • Network layers significantly impact system dynamics and structural measures.
  • Redefinition of basic network metrics is necessary for multilayer contexts.

Conclusions:

  • Multilayer network theory is crucial for understanding complex systems.
  • The temporal and contextual nature of interactions must be considered.
  • Future research should focus on the interplay between structure and dynamics in multilayer networks.