1 / 33

Lecture 27 APX-Complete

This lecture covers the MAX3SAT theorem, the importance of the PCP system, APX-completeness, L-reductions, and the properties of the APX class. It also includes proofs for the MI-4 and VC-4 problems being APX-complete and an exercise on constructing an L-reduction from MAX3SAT-3 to VC-4.

ollis
Download Presentation

Lecture 27 APX-Complete

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Lecture 27APX-Complete

  2. MAX3SAT

  3. Theorem

  4. Theorem This an important result proved using PCP system. Theorem

  5. ClassAPX

  6. L-reduction

  7. VC-b Theorem

  8. 1 2 1 2 v 3 3 4 5 4 5 G G’

  9. Properties (P1) (P2)

  10. APX PTAS

  11. APX-complete Theorem

  12. MAX3SAT-3 Theorem expender

  13. MI-b Theorem

  14. MI-4 is APX-complete Proof. (L1) (L2)

  15. VC-4 is APX-complete Proof. (L1) (L2)

  16. Exercise • Construct a polynomial-time L-reduction from MAX3SAT-3 to VC-4.

  17. Thanks, end.

More Related