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Sep 30, 2016 at 13:17 comment added Thomas Rasberry Thanks for your reply! I think that $\mathbb{R}$ or $\mathbb{C}$ would be an acceptable setting at this stage - since the problem is, indeed, NP-Hard, then I would want to see if there are any relaxation methods or approximate methods that I could connect to this problem (even over a finite field for relaxation/approximation). I was thinking, possibly, branch-and-bound or relating it to integer programming, somehow.
Sep 30, 2016 at 12:49 history answered Dustin G. Mixon CC BY-SA 3.0