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arXiv · 0901.0231

Totally Splittable Polytopes

Sven Herrmann·Michael Joswig
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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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Sven Herrmann, Michael Joswig. 2009-07-13. Totally Splittable Polytopes. https://doi.org/10.1007/s00454-009-9217-8

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