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Approximation Algorithms

Approximation Algorithms. k-Center. Definition. ≤. 2-Approx. Analysis. Obtain Better Ratio?. Weighted k-Center. Notations. Algorithm. Algorithm 2. Analysis. Theorem: Alg 2 has an approx ratio of 3. Multiway Cut and k-Cut. Definition. Example. Can you prove it???. Approximation.

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Approximation Algorithms

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  1. Approximation Algorithms k-Center

  2. Definition ≤ My T. Thai mythai@cise.ufl.edu

  3. 2-Approx My T. Thai mythai@cise.ufl.edu

  4. My T. Thai mythai@cise.ufl.edu

  5. My T. Thai mythai@cise.ufl.edu

  6. Analysis My T. Thai mythai@cise.ufl.edu

  7. Obtain Better Ratio? My T. Thai mythai@cise.ufl.edu

  8. Weighted k-Center My T. Thai mythai@cise.ufl.edu

  9. Notations My T. Thai mythai@cise.ufl.edu

  10. Algorithm My T. Thai mythai@cise.ufl.edu

  11. Algorithm 2 My T. Thai mythai@cise.ufl.edu

  12. Analysis • Theorem: Alg 2 has an approx ratio of 3. My T. Thai mythai@cise.ufl.edu

  13. Multiway Cut and k-Cut My T. Thai mythai@cise.ufl.edu

  14. Definition My T. Thai mythai@cise.ufl.edu

  15. Example My T. Thai mythai@cise.ufl.edu

  16. Can you prove it??? My T. Thai mythai@cise.ufl.edu

  17. Approximation My T. Thai mythai@cise.ufl.edu

  18. Analysis My T. Thai mythai@cise.ufl.edu

  19. Minimum k-cut Problem My T. Thai mythai@cise.ufl.edu

  20. Example My T. Thai mythai@cise.ufl.edu

  21. Construct a Gomory-Hu Tree My T. Thai mythai@cise.ufl.edu

  22. My T. Thai mythai@cise.ufl.edu

  23. Properties of Gomory-Hu Tree wrt k-cut My T. Thai mythai@cise.ufl.edu

  24. Approximation Algorithm My T. Thai mythai@cise.ufl.edu

  25. Analysis My T. Thai mythai@cise.ufl.edu

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