Decision Problem Vs Optimization Problem 9YxMLje NZA

Web Reference: While we are normally interested in problems that have more complex answers than simply yes or no, the importance of decision problems as a central tool for studying the difficulty of computational problems stems from two observations. The relationship between an optimization problem and its related decision problem works in our favor when we try to show that the optimization problem is "hard." That is because the decision problem is in a sense "easier," or at least "no harder." In order to apply the theory of NP-completeness to optimization problems, we must recast them as decision problems. We provide an example of how an optimization problem can be transformed into a decision problem.

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