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Convex polytopes are the convex hulls of a finite set of points in Euclidean spaces. They have rich combinatorial, arithmetic, and metrical theory, and are related to toric varieties and to linear programming
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Exact volume calculation of a polytope is NP hard under which restrictions?
Not sure answering ones own question is common practice here, but I did get the information I was looking for out of that paper:
Dyer, M. E.; Frieze, A. M., On the complexity of computing the volume o …
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Exact volume calculation of a polytope is NP hard under which restrictions?
Computing the exact volume of a polytope given in half space representation seems to be NP-hard. One paper I found proved it is hard for rational coefficients. (However, the paper itself was behind a …