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Layer-layer competition in multiplex complex networks.

J Gómez-Gardeñes1, M de Domenico2, G Gutiérrez3

  • 1Departamento de Física de la Materia Condensada, Universidad de Zaragoza, Zaragoza 50009, Spain Instituto de Biocomputación y Física de Sistemas Complejos, Universidad de Zaragoza, Zaragoza 50018, Spain gardenes@gmail.com.

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Summary
This summary is machine-generated.

Complex networks often have competing interactions. This study shows user activity can shift from one layer to both, influenced by network structure, impacting communication platform prevalence.

Keywords:
competitioncomplex networksmultilayer and interconnected networksmultiplex network

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Area of Science:

  • Physics of complex systems
  • Network science
  • Sociophysics

Background:

  • Multiplex networks, featuring multiple interaction types, are crucial for understanding complex systems.
  • The competition between these interaction layers significantly influences emergent collective behaviors and critical properties.

Purpose of the Study:

  • To investigate the competition dynamics within a two-layer multiplex network.
  • To model how user activity localization or sharing between layers affects system behavior.
  • To understand how communication platform prevalence emerges from user behavior.

Main Methods:

  • Developed a two-layer multiplex network model.
  • Simulated user activity, allowing for localization to a single layer or sharing across layers.
  • Analyzed the transition between localized and delocalized activity states.

Main Results:

  • Observed a transition from localized user activity (preference for one layer) to delocalized activity (usage of both layers).
  • Demonstrated that the prevalence of a specific layer in the localized state is contingent upon the network's structural properties.
  • Showcased a framework mimicking communication channel competition, where platform dominance arises from user activity patterns.

Conclusions:

  • User activity competition in multiplex networks drives transitions between distinct usage patterns.
  • Network structure plays a key role in determining the dominance of specific interaction layers.
  • Understanding these dynamics is essential for comprehending emergent phenomena in interconnected systems.