Explains the concept of trees in graph theory and the definition of a spanning tree.
Covers the implementation and analysis of disjoint sets data structure and introduces the concept of minimum spanning trees.
Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.
Distinguishes between subgraphs and induced subgraphs in graph theory, illustrating the construction of minimal spanning trees.
Covers the definition of flow in a network and flow calculation.
Explores Belief Propagation in graphical models, factor graphs, spin glass examples, Boltzmann distributions, and graph coloring properties.
