Totally Splittable Polytopes
Combinatorics
2014-12-23 v2 Metric Geometry
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.
Keywords
Cite
@article{arxiv.0901.0231,
title = {Totally Splittable Polytopes},
author = {Sven Herrmann and Michael Joswig},
journal= {arXiv preprint arXiv:0901.0231},
year = {2014}
}
Comments
15 pages, 7 figures; v2: major revision: corrections of some minor errors and some additions