Influence and influenceability: global directionality in directed complex networks
Niall Rodgers1,2, Peter Tiňo3, Samuel Johnson1,4
1School of Mathematics, University of Birmingham, Birmingham, UK.
Royal Society Open Science
|August 31, 2023
Summary
Understanding network influence requires analyzing hierarchical structure and global directionality. Trophic analysis reveals how these factors determine a network's influence and influenceability, applicable across diverse directed networks.
Area of Science:
- Network Science
- Complex Systems Analysis
- Graph Theory
Background:
- Traditional network analysis often overlooks global architecture when assessing node importance.
- Understanding influence and influenceability in directed networks is crucial for predicting system behavior.
Purpose of the Study:
- To investigate the role of hierarchical structure and global directionality in directed networks.
- To demonstrate how trophic analysis can explain network influence and influenceability.
Main Methods:
- Application of trophic analysis to directed networks.
- Measurement of hierarchical structure using trophic levels.
- Quantification of global directionality via trophic coherence.
Main Results:
- Influence and influenceability are determined by trophic hierarchy and global directionality.
- Trophic hierarchy explains node reach, eigenvector centrality localization, and dynamics in opinion and game models.
- Global directionality mediates these influence phenomena.
Conclusions:
- Node hierarchy is essential for understanding network influence.
- Global directionality is a key mediator of influence in directed networks.
- Trophic analysis provides a framework applicable to diverse real-world directed networks.
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