A convexity problem in 3-polytopal graphs (Q793056)
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scientific article; zbMATH DE number 3855161
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A convexity problem in 3-polytopal graphs |
scientific article; zbMATH DE number 3855161 |
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A convexity problem in 3-polytopal graphs (English)
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1984
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In this paper, we prove that if \(\Gamma\) is a 3-polytopal graph such that every proper convex subgraph of \(\Gamma\) is a face of \(\Gamma\) and conversely, then \(\Gamma\) is either the graph of a tetrahedron, the graph of a triangular prism, the graph of a cube or the graph of a k-gonal bipyramid (\(k\geq 4)\).
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3-polytopal graph
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convex subgraph
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