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Complexity of Approximation

Complexity of Approximation

Complexity of Approximation. How hard is it to approximate this problem?. Traveling Salesman. Given n cities with a distance table, find a minimum total-distance tour to visit each city exactly once. Approximate Traveling Salesman. Theorem. Proof:

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Chapter 10 Complexity of Approximation (1) L-Reduction

Chapter 10 Complexity of Approximation (1) L-Reduction

Chapter 10 Complexity of Approximation (1) L-Reduction. Ding-Zhu Du. Traveling Salesman. Given n cities with a distance table, find a minimum total-distance tour to visit each city exactly once. Definition. Theorem. Proof: Given a graph G=(V,E), define a distance table on V as follows:.

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Chapter 10 Complexity of Approximation (1) L-Reduction

Chapter 10 Complexity of Approximation (1) L-Reduction

Chapter 10 Complexity of Approximation (1) L-Reduction. Ding-Zhu Du. Traveling Salesman. Given n cities with a distance table, find a minimum total-distance tour to visit each city exactly once. Definition. Theorem. Proof: Given a graph G=(V,E), define a distance table on V as follows:.

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498 views • 49 slides
Part V Theory of Approximate Computation

Part V Theory of Approximate Computation

Part V Theory of Approximate Computation. Lecture 25 Approximation for NP-hard Problems. Earlier Results on Approximations. Vertex-Cover Traveling Salesman Problem Knapsack Problem. Performance Ratio. Constant-Approximation. c-approximation is a polynomial-time approximation satisfying :

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