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Linear Programming DualityExplores linear programming duality, covering constraints, variables, solutions, and the relationship between primal and dual LP.
Max-flow Min-cut TheoremExplores the Max-flow Min-cut theorem, integral capacities, Ford-Fulkerson method, bipartite matching, and edge-disjoint paths.
Mean field computationExplores the computation of mean field and effective field in message passing algorithms.
Spin Model ExercisesCovers exercises on the spin model, independent set, matching, and increasing functions.
Max-flow and Disjoint SetsExplores the Ford-Fulkerson method, max-flow, applications of max-flow, and the disjoint-set data structure.
Max-flow Min-cut TheoremExplores the equivalence between maximum flow and minimum cut in network theory, demonstrating its applications through examples and edge-disjoint paths.