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Totally Splittable Polytopes |
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| Authors: | Sven Herrmann Michael Joswig |
| Affiliation: | 1. Fachbereich Mathematik, TU Darmstadt, 64289, Darmstadt, Germany 2. Institut für Mathematik, TU Berlin, 10623, Berlin, Germany |
| Abstract: | A split of a polytope is a (necessarily regular) subdivision with exactly two maximal cells. A polytope is totally splittable if each triangulation (without additional vertices) is a common refinement of splits. This paper establishes a complete classification of the totally splittable polytopes. |
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