Topics to be covered (more or less):

  • 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.
  • distribution versus redistribution networks.
  • properties of networks including degree distributions, clustering, motifs, various measures of betweenness, modularity, the role of randomness, network dynamics, and multiscale structures.
  • community detection algorithms.
  • bipartite networks.
  • partly random networks as models of real world networks.
  • generating function techniques.
  • universal models including scale-free networks, p-star networks, and generative models.
  • small-world networks.
  • impedance and flow in networks.
  • connections between delivery networks and energy usage in organisms.
  • search in networks as facilitated by network structure and search methods.
  • folksonomy and tagging.
  • generalized notions of contagion in networks.
  • network epidemiology and fad spreading.