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Topological Sort and SCCExplores topological sort, acyclic graphs, Strongly Connected Components, magic algorithm, component graph, flow networks, and their applications.
Local Homeomorphisms and CoveringsCovers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Networks: TreesExplains the concept of trees in graph theory and the definition of a spanning tree.
Graph Theory BasicsIntroduces induced flows, basis matrices, and tree solutions in graph theory.
Networks, FlowsCovers the definition of flow in a network and flow calculation.
Belief PropagationExplores Belief Propagation in graphical models, factor graphs, spin glass examples, Boltzmann distributions, and graph coloring properties.