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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.
Open ProblemsExplores a variety of open problems in graph theory and computational complexity, challenging students to analyze and solve complex issues.
Graph Theory FundamentalsExplores fundamental graph theory concepts, Erdős' results, Chromatic Lemma, and Union Bound theorem in graph theory.
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.