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Lecture
Algorithms: Stable Matchings
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Related lectures (23)
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Greedy Change-Making Algorithm: Optimality and Stability
Explores the optimality of the greedy change-making algorithm and the stability of maximum matching.
Algorithms: Stable Matchings
Covers the concept of stable matchings and the Gale-Shapley algorithm.
Marriage Problem: Gale Shapley Algorithm
Covers the Marriage Problem and the Gale Shapley Algorithm to find stable matches.
Algorithms & Growth of Functions
Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.
Unweighted Bipartite Matching
Introduces unweighted bipartite matching and its solution using linear programming and the simplex method.
Linear Programming Duality
Explores linear programming duality, covering constraints, variables, solutions, and the relationship between primal and dual LP.
Matroids: Matroid Intersection
Covers the concept of matroids, focusing on matroid intersection and the properties of subsets of a ground set.
Algorithms: Union Find and Minimum Spanning Trees
Discusses Union-Find data structures and Minimum Spanning Trees, covering algorithms and their applications in network design and optimization.
Linear Programming: Weighted Bipartite Matching
Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.
Graph Algorithms: Ford-Fulkerson and Strongly Connected Components
Discusses the Ford-Fulkerson method and strongly connected components in graph algorithms.