Belief PropagationExplores Belief Propagation in graphical models, factor graphs, spin glass examples, Boltzmann distributions, and graph coloring properties.
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.
Subgraphs vs Induced SubgraphsDistinguishes between subgraphs and induced subgraphs in graph theory, illustrating the construction of minimal spanning trees.
Distances and Motif CountsExplores distances on graphs, cut norms, spanning trees, blockmodels, metrics, norms, and ERGMs in network data analysis.
Geometry: Eulerian CircuitsExplores Eulerian circuits through the Königsberg bridges problem, leading to the development of graph theory and topology.
Information Theory: BasicsCovers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.