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arXiv · 1610.06425

A classification of polyhedral graph by combinatorially rigid vertices

Seonhwa Kim·Yunhi Cho
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Abstract

When the number of non-triangular faces adjacent to a vertex $v$ is less than or equal to three, the vertex $v$ will be called (\emph{combinatorially}) \emph{rigid}. We study the number of rigid vertices and suggest a conjecture on a classification of polyhedra.

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Seonhwa Kim, Yunhi Cho. 2017-03-15. A classification of polyhedral graph by combinatorially rigid vertices. https://arxiv.org/abs/1610.06425

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