Using a suitable Venn diagram, describe the relationship between NP, NP-Hard, and NP-Complete problems from

Expert Solution

Using the diagram, we assume that and are not the same set, or, in other words, we assume that . This is our apparently-true, but yet-unproven assertion. Of course, another interesting aspect of this diagram is that we’ve got some overlap between and . We call when the problem belongs to both of these sets.

Alright, so, we’ve mapped , , and to “easy”, “medium”, “hard” and “hardest”, but how does we place a given algorithm in each category? For that, we’ll need to get a bit more formal through the next section.

venereology answered 6 months ago

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