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Null Model and Community Structure in Multiplex Networks.

Xuemeng Zhai1, Wanlei Zhou2, Gaolei Fei1

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We introduce a novel null model for multiplex networks, analyzing community structures using node redundancy. This model quantifies network properties, offering new insights into complex systems.

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Area of Science:

  • Complex systems analysis
  • Network science
  • Statistical physics

Background:

  • Multiplex networks capture intricate relationships in complex systems.
  • Null models are crucial for quantifying network specificity.
  • Existing null models for multiplex networks are underdeveloped.

Purpose of the Study:

  • To propose a novel null model for multiplex networks.
  • To define a modularity measure for multiplex networks based on the proposed null model.
  • To investigate community structures within multiplex networks.

Main Methods:

  • Developed a null model for multiplex networks utilizing node redundancy degree.
  • Defined multiplex network modularity based on the node redundancy null model.
  • Applied the model to community detection in four real-world multiplex networks.

Main Results:

  • The proposed null model effectively reveals community structures in multiplex networks.
  • Node redundancy degree serves as a natural measure for multiplex relationships.
  • The model provides quantifiable insights into the specific nature of multiplex networks.

Conclusions:

  • The developed null model is a valuable tool for analyzing multiplex networks.
  • This approach enhances the understanding of community structures in complex systems.
  • The study opens new avenues for quantifying the unique properties of multiplex networks.