# CMPLXSYS 535
- **The Empirical Study of Networks**
Technological networks · Networks of information · Social networks · Biological networks
- **Mathematics of Networks**
Adjacency Matrix · Weighted / Directed Networks · Hypergraphs · Bipartite, Multilayer, Dynamic Networks · Trees · Planar Networks · Degree · Walks and Paths · Connectivity · Graph Laplacian
- **Measures and Metrics**
Centrality · Groups of Nodes · Clustering Coefficient · Reciprocity · Signed Edges and Balance · Similarity · Homophily and Assortativity
- **Computer Algorithms**
Software · Complexity · Data Structures · Shortest Paths · Flows and Cuts
- **Network Statistics and Measurement Error**
Error Types · Sources · Estimation · Correction
- **Structure of Real-World Networks**
Components · Shortest Paths · Degree Distributions · Power Laws · Clustering · Assortativity
- **Random Graphs**
- **The Configuration Model**
- **Models of Network Formation**
Preferential Attachment · Barabási–Albert Model · Node Copying · Optimization Models
14. **Community Structure**
Modularity Maximization · Information-Theoretic and Statistical Inference Methods · Algorithm Performance
15. **Percolation and Network Resilience**
16. **Epidemics on Networks**
17. **Dynamical Systems on Networks**