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The Problem You Define Is an Infinite Problem
The problem you describe is an infinite problem computationally, just because you have so many permutations of your grap even for small, relatively small, grahs yas. That assuances the reason why it's the problem you describe and i've been exposed to some of this ously. It was a interesting year with leo coming to my office and saying, look how beautiful this theorum is, and be saying, how are we going to compute it? Until we found them the beautiful mathematical trick that actually worked.