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Lecture 8-9 More examples

Explore integer programming, traveling salesman problem, knapsack, vertex cover, Hamiltonian cycle, 3-dimensional matching, planar partition, and 3-SAT through yacht owner puzzle. Discover NP-completeness proofs and examples.

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Lecture 8-9 More examples

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  1. Lecture 8-9 More examples

  2. Integer Programming TSP Knapsack VC HC 3DM Partition Planar 3SAT 3SAT SAT

  3. Vertex-Cover is NP-complete Proof.

  4. HC is NP-complete

  5. 3DM

  6. Example of 3DM • Messrs. Spinnaker, Buoy, Luff, Gybe, and Windward are yacht owners. Each has a daughter, and each has named his yacht after the daughter of one of the others. • Mr. Spinnaker’s yacht, the Iris, is named after Mr. Buoy’s daughter. Mr. Buoy’s own yacht is the Daffodil; Mr. Windward’s yacht is the Jonquil; Mr. Gybe’s, the Anthea. • Daffodil is the daughter of the owner of the yacht which is named after Mr. Luff’s daughter. Mr. Windward’s daughter is named Lalage. • Who is Jonquil’s father?

  7. Trash Can ( )

  8. Partition

  9. S=33333333333333333333 1111111111111111111111 1 1

  10. Puzzle Answer

  11. Planar 3SAT

  12. Planar CNF (type1)

  13. Planar CNF (type 2)

  14. A planar (type2) CNF must bea planar (type 1) CNF!!!

  15. 2-3CNF

  16. Planar 2-3SAT (type1)

  17. Planar 2-3SAT (type2)

  18. Planar 3SAT

  19. Want to show

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