Web Reference: The vertex cover example above is such a decision problem derived from an optimization problem. In the vertex cover problem, we normally look for the smallest possible vertex cover. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. Yes, a decision problem is concerned with the existence of a solution (with an extra condition on optimality) for the problem, an optimization problem is mapping all the solution to objective value, judging which of the solution is the best one.
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