Relations Between EventsExplores relations between events, disjunctive constraints, and modeling with binary variables in optimization problems.
Distances and Motif CountsExplores distances on graphs, cut norms, spanning trees, blockmodels, metrics, norms, and ERGMs in network data analysis.
Networks: TreesExplains the concept of trees in graph theory and the definition of a spanning tree.
Minimal Spanning TreeCovers the concept of weighted graphs and the Greedy algorithm for finding a minimal spanning tree.
Network Flow AlgorithmsCovers network flow algorithms, including Max Flow, Min Cut, and Negative Cost Cycle Algorithm, progressing from basic definitions to advanced algorithms like Bellman-Ford and Dijkstra's.
Prim's and Kruskal's AlgorithmsExplores Prim's and Kruskal's algorithms for finding minimum spanning trees in a graph, covering their correctness, implementation, and analysis.