
Examples of complex networks
 The Internet
 Power grids
 Transportation networks
 Social networks
 The World Wide Web
 Biological networks
Mathematics of networks
 Representation of networks
 Cocitation matrix and Bibliographic coupling
 Baisc network defitions(planar networks, trees, degree, components, etc.)
Measures and metrics of complex networks
 Centrality metrics (betweeness, closeness, eigenvector, etc.)
 Degree distribution
 PageRank
 Motifs, components, communities
 Random walks
Advanced network algorithms
 Graph partitioning
 Community detection
Models of complex networks
 Random networks
 Scalefree networks
 Powerlaw
 Smallworld
Processes on Networks
 Percolation and network resilience
 Epidemics on networks
Additional Topics
 Network Tomography
 Network Utility Maximization
 Selforganized criticality and BakTangWiesenfeld model
 Dynamical systems
