Ramsey-type theorem for spatial graphs (Q1385300)
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scientific article; zbMATH DE number 1146348
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ramsey-type theorem for spatial graphs |
scientific article; zbMATH DE number 1146348 |
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Ramsey-type theorem for spatial graphs (English)
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26 April 1998
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The author shows that for every imbedding of a graph \(H\) in \(\mathbb{R}^3\), there exist positive integers \(m\) and \(n\) such that every imbedding of the complete bipartite graph \(K_{m,n}\) in \(\mathbb{R}^3\) whose projection in the \(xy\)-plane consists entirely of straight edges contains a subgraph which is ambient isotopic to \(H\).
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Ramsey-type theorem
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spatial graphs
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imbedding
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