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P, NP, and NP-Complete Problems, Decision problems, tractable, intractable…
P, NP, and NP-Complete Problems
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is a class of decision problems that can be solved in polynomial time by deterministic algorithms. This class of problems is called polynomial
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A decision problem D1 is said to be polynomially reducible to a decision D2 if there exists a function t that transforms instances of D1 to instances of D2 such that:
1 - t maps all yes instances of D1 to yes instances of D2 and all no instances of D1 to no instances of D2
2- t is computable by a polynomial algorithm
- belong to class NP
- every problem in NP is polynomially reducible to D
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