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arXiv · 1501.03801

Graph-truncations of $3$-polytopes

Nikolai Erokhovets
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Abstract

In this paper we study the operation of cutting off edges of a simple $3$-polytope $P$ along the graph $Γ$. We give the criterion when the resulting polytope is simple and when it is flag. As a corollary we prove the analog of Eberhard's theorem about the realization of polygon vectors of simple $3$-polytopes for flag polytopes.

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Nikolai Erokhovets. 2015-01-15. Graph-truncations of $3$-polytopes. https://arxiv.org/abs/1501.03801

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