Explore the mathematics of connections, from graph theory to collective behavior
Network science is an interdisciplinary field that studies complex systems through their connections and interactions. From social networks to neural systems, network principles help us understand how complex behaviors emerge from simple rules.
Foundations of network science and mathematical representations
Learn about adjacency matrices, edge lists, and graph visualization
Understand degree distributions, centrality, and path lengths
Explore connectivity, clustering, and community structure
Different types of network structures and their properties
Erdős-Rényi model and random graph properties
Power-law degree distributions and preferential attachment
Watts-Strogatz model and six degrees of separation
Coordination and collective behavior in networks
Phase synchronization and frequency locking
Mathematical model of synchronization phenomena
How topology influences synchronization patterns
Emergent phenomena in complex networks
How beliefs and behaviors spread through networks
Viral spreading and tipping points
Robustness and adaptation in complex systems