Topics to be covered, more or less.
Some will have been explored in Principles of Complex Systems.
- PoCS: Structure and form of complex networks including physical branching networks (river networks and cardiovascular networks), neural networks, social networks, the Internet, the world wide web, transportation networks, and organizations.
- PoCS: Properties of networks including degree distributions, clustering, motifs, various measures of betweenness, modularity, the role of randomness, network dynamics, and multiscale structures.
- Real-world branching networks—rivers and blood; stream ordering, scaling, and self-similarity; Horton-Strahler laws; Tokunaga's law.
- Quarterology: Connections between delivery networks, allometric scaling, energy usage, and more in organisms and cities.
- Distribution versus redistribution networks.
- Optimal supply and collection networks.
- Centrality measures.
- Community detection algorithms.
- Bipartite networks.
- Generalized random networks as models of real world networks.
- Generating function techniques.
- PoCS: Scale-free networks.
- PoCS: Small-world networks.
- Multilayer networks;
- Impedance and flow in networks.
- Search in networks as facilitated by network structure and search methods.
- Biological and social contagion.
- Community and Structure Detection methods.