Greedy Change-Making Algorithm: Optimality and Stability

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Covers the concept of stable matchings and the Gale-Shapley algorithm.

Covers the concept of stable matchings and the Gale-Shapley algorithm.

Covers the Marriage Problem and the Gale Shapley Algorithm to find stable matches.

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Introduces unweighted bipartite matching and its solution using linear programming and the simplex method.

Explores linear programming duality, covering constraints, variables, solutions, and the relationship between primal and dual LP.

Covers the concept of matroids, focusing on matroid intersection and the properties of subsets of a ground set.

Discusses Union-Find data structures and Minimum Spanning Trees, covering algorithms and their applications in network design and optimization.

Explores the marriage problem, where a bride must strategically accept suitors to maximize her chances of selecting the best one.

Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.