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Chapter 8 PD-Method and Local Ratio

Chapter 8 PD-Method and Local Ratio. Ding-Zhu Du. (1) Duality of LP. Dual LP. Primal. Dual. Lemma. Proof. Theorem. Proof. Complementary Slackness Condition. Remark. Chapter 8 PD-Method and Local Ratio. Ding-Zhu Du. (2) Primal-Dual Method. Primal and Dual.

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Chapter 8 PD-Method and Local Ratio

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  1. Chapter 8 PD-Method and Local Ratio Ding-Zhu Du (1) Duality of LP

  2. Dual LP Primal Dual

  3. Lemma Proof.

  4. Theorem

  5. Proof.

  6. Complementary Slackness Condition Remark

  7. Chapter 8 PD-Method and Local Ratio Ding-Zhu Du (2) Primal-Dual Method

  8. Primal and Dual

  9. Complementary Slackness Condition Primal c-s Condition Dual c-s Condition Remark

  10. General Cover M × n

  11. Primal and Dual

  12. Idea Question:

  13. Idea

  14. Lemma Proof

  15. Lemma Proof

  16. Two observations

  17. Primal and Dual 1. Is redundant? Yes!!!

  18. Complementary-Slackness

  19. 2.Could we explain the approximation without using LP?Yes!!!

  20. A Special Case

  21. Weight Decomposition

  22. Covering Type M × n

  23. Packing Type m × n

  24. Thanks, End

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