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Lecture 24 More # P -complete Problems

Lecture 24 More # P -complete Problems. Is #P-complete is an extension of NP-complete?. No!. Permanent. Equivalence between Perm and #CC. Theorem. PROOF. Called a Junction!. CONSTRUCTION FOR VARIABLE. CONSTRUCTION FOR CLAUSE. ROUTE. GOOD ROUTE. CLAIM 1. PROOF OF CLAIM 1. CLAIM 2.

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Lecture 24 More # P -complete Problems

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  1. Lecture 24More#P-complete Problems

  2. Is #P-complete is an extension of NP-complete? No!

  3. Permanent

  4. Equivalence between Perm and #CC

  5. Theorem PROOF Called a Junction!

  6. CONSTRUCTION FOR VARIABLE

  7. CONSTRUCTION FOR CLAUSE

  8. ROUTE GOOD ROUTE CLAIM 1

  9. PROOF OF CLAIM 1

  10. CLAIM 2 PROOF OF CLAIM 2

  11. CLAIM 3

  12. CLAIM 3

  13. CLAIM 3

  14. CLAIM 3

  15. CLAIM 3

  16. CLAIM 3

  17. CLAIM 3

  18. CLAIM 4

  19. 3-Perm COROLLARY

  20. THEOREM PROOF

  21. Chinese Remainder Theorem

  22. Example: 4 persons a line; one is left. 5 persons a line; one position is left.

  23. THEOREM COROLLARY PROOF OF THEOREM

  24. Thanks, end.

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