Graph Theory FundamentalsCovers the fundamentals of graph theory, including vertices, edges, degrees, walks, connected graphs, cycles, and trees, with a focus on the number of edges in a tree.
Minimal Spanning TreeCovers the concept of weighted graphs and the Greedy algorithm for finding a minimal spanning tree.
Subgraphs vs Induced SubgraphsDistinguishes between subgraphs and induced subgraphs in graph theory, illustrating the construction of minimal spanning trees.
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.
Belief PropagationExplores Belief Propagation in graphical models, factor graphs, spin glass examples, Boltzmann distributions, and graph coloring properties.