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Circuit Satisfiability
Circuit-Satisfiability Problem
CIRCUIT-SAT is NP-Complete
NP-Completeness Proofs
Example: Boolean Formula Satisfiability
SAT $\in$ NPC
SAT $\in$ NPC
CNF Satisfiability
Some NP-Complete Problems
Clique Problem
Theorem 36.11: CLIQUE $\in$ NPC
Proof (cont.)
Proof (cont.)
Vertex-Cover Problem
Theorem 36.12: VC $\in$ NPC
Set-Covering Problem
Theorem: SC $\in$ NPC
Subset Sum Problem
Hamiltonian Cycle Problem
Traveling Salesman Problem
Theorem 36.15: TSP $\in$ NPC
Partition Problem
Knapsack Problem
KNAPSACK is NP-Complete
NP-Complete Problems

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