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1. Introduction.-2. Divide-and-Conquer
3. Dynamic Programming and Shortest Path
4. Greedy Algorithm and Spanning Tree
5. Incremental Method and Maximum Network Flow
6. Linear Programming
7. Primal-Dual Methods and Minimum Cost Flow
8. NP-hard Problems and Approximation Algorithms
9. Restriction and Steiner Tree
10. Greedy Approximation and Submodular Optimization
11. Relaxation and Rounding. 12. Nonsubmodular Optimization
Bibliography.

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