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For example in this post they discuss how to construct a reduction between problems to show that one probleme is NP-Hard: Post

I am searching for a scientific paper to cite where it is written, that this is a valid method.

Does anybody knows one?

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    $\begingroup$ Polynomial-time reduction on Wikipedia has a lot of references that could be helpful. Indeed, this is standard textbook material. $\endgroup$ – Juho Jan 12 at 19:33
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    $\begingroup$ Try Karp’s classic paper On the reducibility of combinatorial problems. You can also cite relevant textbooks. $\endgroup$ – Yuval Filmus Jan 12 at 21:19
  • $\begingroup$ Another relevant result is Cook-Levin teorem (Cook's paper should include some useful citations). $\endgroup$ – narek Bojikian Jan 13 at 6:59
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If I may make an assumption, you want such a reference to be able to put it in one of your works, right ? I don't why you would wanna do that as if you have a problem A, reducting a NP Hard problem to problem A quite clearly shows that A is NP Hard. No one bothers proving it as it's such a straightforward and fundamental result. If you need to prove it for some reason you can do it in two lines. If you still want a reference for a reader to read about NP in general then just quote Arora and Barak's book on complexity theory.

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