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18. Complexity: Fixed-Parameter Algorithms
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Classroom Contents
Design and Analysis of Algorithms
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- 1 1. Course Overview, Interval Scheduling
- 2 2. Divide & Conquer: Convex Hull, Median Finding
- 3 R1. Matrix Multiplication and the Master Theorem
- 4 3. Divide & Conquer: FFT
- 5 R2. 2-3 Trees and B-Trees
- 6 4. Divide & Conquer: van Emde Boas Trees
- 7 5. Amortization: Amortized Analysis
- 8 6. Randomization: Matrix Multiply, Quicksort
- 9 R4. Randomized Select and Randomized Quicksort
- 10 7. Randomization: Skip Lists
- 11 8. Randomization: Universal & Perfect Hashing
- 12 R5. Dynamic Programming
- 13 9. Augmentation: Range Trees
- 14 10. Dynamic Programming: Advanced DP
- 15 11. Dynamic Programming: All-Pairs Shortest Paths
- 16 12. Greedy Algorithms: Minimum Spanning Tree
- 17 R6. Greedy Algorithms
- 18 13. Incremental Improvement: Max Flow, Min Cut
- 19 14. Incremental Improvement: Matching
- 20 R7. Network Flow and Matching
- 21 15. Linear Programming: LP, reductions, Simplex
- 22 16. Complexity: P, NP, NP-completeness, Reductions
- 23 R8. NP-Complete Problems
- 24 17. Complexity: Approximation Algorithms
- 25 18. Complexity: Fixed-Parameter Algorithms
- 26 R9. Approximation Algorithms: Traveling Salesman Problem
- 27 19. Synchronous Distributed Algorithms: Symmetry-Breaking. Shortest-Paths Spanning Trees
- 28 20. Asynchronous Distributed Algorithms: Shortest-Paths Spanning Trees
- 29 R10. Distributed Algorithms
- 30 21. Cryptography: Hash Functions
- 31 22. Cryptography: Encryption
- 32 R11. Cryptography: More Primitives
- 33 23. Cache-Oblivious Algorithms: Medians & Matrices
- 34 24. Cache-Oblivious Algorithms: Searching & Sorting
