Network Science

Examples of real networks, basic mathematical concepts of graphs: adjacency matrix, bipartite graphs, degrees, paths, Laplacians, random walks. Centrality measures. Similarity, homophily. Related components, “small world” effects, distribution of degrees and power laws, clustering coefficients. Network formation models: random graphs, preferential attachment. Diffusion, percolation and resilience in networks. Dynamic systems in networks. Network games.

Basic Information

Workload
45 hours

Mandatory: 

  • Newman, Mark - Networks: An Introduction. Oxford University Press.
  • Jackson, Matthew - Social and Economic Networks.Princeton University Press
  • Barabási, Albert-László - Network Science - Cambridge University Press. (disponível online em barabasi.com/networksciencebook/)

Complementary: 

  • Caldarelli. Guido e Catanzaro, Michele - Networks : a very short introduction. Oxford University Press
  • Easley, David e Kleinberg, Jon. Networks, crowds, and markets : reasoning about a highly connected world - Cambridge University Press.
  • Wilson, Robin J. - Introduction to graph theory - Prentice Hall.
  • Kiss, I.Z.; Miller, J.C. e Simon, P.L. - Mathematics of Epidemics on Networks - Springer
  • Estrada, Ernesto - A First Course in Network Theory - Oxford University Press