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arxiv: 1610.06425 · v2 · pith:4ZOGPHSSnew · submitted 2016-10-18 · 🧮 math.MG · math.CO

A classification of polyhedral graph by combinatorially rigid vertices

classification 🧮 math.MG math.CO
keywords rigidclassificationcombinatoriallyemphnumbervertexverticesadjacent
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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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