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Approximation Algorithms

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Christofides Algorithm

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An approximation algorithm used for solving the Traveling Salesman Problem in weighted graphs. It guarantees to return a tour at most 1.5 times the optimal length for graphs satisfying the triangle inequality.

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Simulated Annealing

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A probabilistic technique used to approximate the global optimum of a given function. It's used in large search spaces and for problems like circuit design and protein folding.

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Local Search Algorithm

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A heuristic method for solving computationally hard optimization problems. Local search algorithms move from solution to solution in the space of candidate solutions by applying local changes, until a solution deemed optimal is found or a time bound is exceeded.

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Greedy Algorithm

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A Greedy algorithm makes the locally optimal choice at each stage with the hope of finding a global optimum. It's used in scenarios like the Knapsack problem, graph colorings, and job scheduling.

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