Relations Between EventsExplores relations between events, disjunctive constraints, and modeling with binary variables in optimization problems.
Minimum Spanning TreesCovers the implementation and analysis of disjoint sets data structure and introduces the concept of minimum spanning trees.
Matrix Tree TheoremExplores the Matrix Tree Theorem and its application in calculating spanning trees in graphs.
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.
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.
Subgraphs vs Induced SubgraphsDistinguishes between subgraphs and induced subgraphs in graph theory, illustrating the construction of minimal spanning trees.