NP-Complete problems NP-Complete problems - Ace

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✬✩SAT: Poly-time reduction• For the above circuit C, the formula isφ = x 7 ∧(¬x 1 ↔ x 4 )∧(x 5 ↔ (x 1 ∨x 2 ))∧(x 2 ↔ ¬x 6 )∧(x 7 ↔ (x 4 ∧x 5 ∧x 3 ∧x 6 ))CS404/504✫Design and Analysis of Algorithms: Lecture 26Computer Science18✪

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✬✩SAT: Poly-time reduction• Easy to see that C is satisfiable ⇔ φ is satisfiable.• The reduction runs in polynomial time.CS404/504✫Design and Analysis of Algorithms: Lecture 26Computer Science19✪

Page 1 and 2: ✬✩NP-Complete problemsNP-comple
Page 3 and 4: ✬✩From P to NPC• However, the
Page 5 and 6: ✬✩Polynomial reductionsCS404/50
Page 7 and 8: ✬✩Implication of A ≤ p B• f
Page 9 and 10: ✬✩NP-hard and NP-Complete• De
Page 11 and 12: ✬✩CKT-SAT problemDecision probl
Page 13 and 14: ✬✩Alternative definition of NP-
Page 15 and 16: ✬✩Another NPC problem: SATFormu
Page 17: ✬✩SAT: Poly-time reductionThe r

NP-Complete problems NP-Complete problems - Ace

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