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Bridge synergy and simplicial interaction in complex contagions.
Zixiang Yan1, Jian Gao1, Yueheng Lan1
1School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
Chaos (Woodbury, N.Y.)
|March 8, 2024
Summary
This study bridges synergistic and simplicial contagion models in network science. We demonstrate their consistency in modeling complex contagions, enhancing understanding of network interactions.
Area of Science:
- Network science
- Complex systems
- Contagion modeling
Background:
- Complex contagion modeling is crucial in network science.
- Synergistic and simplicial contagion models offer different approaches.
- The relationship between these models remains unclear.
Purpose of the Study:
- To compare synergistic contagion with simplicial contagion's triangular interaction.
- To analytically and empirically investigate the link between synergy and high-order interactions.
- To enhance the understanding of complex contagions in networked systems.
Main Methods:
- Analytical derivation connecting triangular interaction and synergy via joint degree distribution.
- Monte Carlo simulations for comparative analysis.
- Testing on synthetic and real-world networks.
Main Results:
- Analytical bridge established between triangular interaction and synergy.
- Simulations show consistency between simplicial and synergistic contagion processes.
- Validation of the analytical findings through empirical data.
Conclusions:
- Synergy and high-order interactions are deeply related in complex contagions.
- The joint degree distribution is key to understanding this relationship.
- This research provides a unified perspective on complex contagion modeling.
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