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Max-flow and Disjoint SetsExplores the Ford-Fulkerson method, max-flow, applications of max-flow, and the disjoint-set data structure.
Minimum Spanning TreesCovers the implementation and analysis of disjoint sets data structure and introduces the concept of minimum spanning trees.
Union-Find and Prim's AlgorithmIntroduces Union-Find data structure and Prim's algorithm for minimum spanning trees in graphs, exploring cuts and historical origins.
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.
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.