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.