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The Complexity of Finding Small Triangulations of Convex 3-Polytopes

Alexander Below·Jesús A. De Loera·Jürgen Richter-Gebert
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Abstract

The problem of finding a triangulation of a convex three-dimensional polytope with few tetrahedra is proved to be NP-hard. We discuss other related complexity results.

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Alexander Below, Jesús A. De Loera, Jürgen Richter-Gebert. 2000-12-18. The Complexity of Finding Small Triangulations of Convex 3-Polytopes. https://arxiv.org/abs/math/0012177

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