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Participant-invariant, evolving patterns of influence in dynamic networks.

Shaojie Min1, Jiaxing Shang2, Ji Liu2

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Dynamic network influence patterns are surprisingly consistent, often explained by just one core pattern. This finding simplifies analyzing complex systems and reveals heterogeneous node participation.

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Area of Science:

  • Complex Systems Science
  • Network Science
  • Data Science

Background:

  • Understanding influence evolution in dynamic networks is key to complex systems.
  • Temporal influence patterns are under-explored due to perceived analytical complexity.
  • Real-world networks present challenges in analyzing numerous evolving influence processes.

Purpose of the Study:

  • To uncover participant-invariant characteristics in dynamic network influence.
  • To demonstrate that a small number of influence patterns can represent network behavior.
  • To provide a framework for understanding influence evolution in complex systems.

Main Methods:

  • Analysis of 50 dynamic network datasets from diverse domains.
  • Identification of core influence patterns within networks.
  • Quantification of node participation using associated weights.

Main Results:

  • A small number of influence patterns (often one) capture overall network behavior.
  • Influence patterns show similarities across networks of the same category.
  • Node weight distribution follows a power law, indicating heterogeneous participation.

Conclusions:

  • Dynamic network influence exhibits a participant-invariant characteristic.
  • A simplified representation of dynamic networks is achievable.
  • Insights into heterogeneous node participation and influence evolution are provided.