Can Spatiality Promote Diversity?
arXiv:1809.00729
Abstract
Real-world dynamics running on networks can be characterized in terms of their respective diversity, or heterogeneity of state values. Spatial networks can be understood as networks exhibiting limited small world characteristics. In the present work we argue that network spatiality can enhance the diversity of respectively unfolding dynamics. This also means that the small world property tends to reduce diversity. We illustrate this conjecture by simulating one type of Sznajd dynamics at the transient regime on Watts-Strogatz networks with varying rewiring levels. The obtained results show a marked reduction of state diversity as spatiality is replaced by the small world property.
References in corpus (13)
- Statistical physics of social dynamics
- Epidemic processes in complex networks
- Synchronization in complex networks
- Critical phenomena in complex networks
- Search in Power-Law Networks
- Analyzing and Modeling Real-World Phenomena with Complex Networks: A Survey of Applications
- Efficient routing on complex networks
- Self-sustained activity in a small-world network of excitable neurons
- Optimal hierarchical modular topologies for producing limited sustained activation of neural networks
- Maximal-entropy random walks in complex networks with limited information
- How does public opinion become extreme?
- Correlations between structure and dynamics in complex networks
- Random walks in directed modular networks