Totally Splittable Polytopes

Details Totally Splittable Polytopes Totally Splittable Polytopes

2009-01-02

arxiv.org/abs/0901.0231v2

Mathematics

Combinatorics

15 pages, 7 figures; v2: major revision: corrections of some minor errors and some additions

Scientific paper

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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