The planar Ramsey number \(PR(K_4-e,K_5\)) (Q861805)
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scientific article; zbMATH DE number 5121358
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The planar Ramsey number \(PR(K_4-e,K_5\)) |
scientific article; zbMATH DE number 5121358 |
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The planar Ramsey number \(PR(K_4-e,K_5\)) (English)
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2 February 2007
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The planar Ramsey number \(PR(H_1,H_2)\) is the smallest integer \(n\) such that any planar graph on \(n\) vertices contains a copy of \(H_1\) or its complement contains a copy of \(H_2\). In the paper it is shown that \(PR(K_4-e,K_5)=14\); thus, \(PR(K_4-e,K_5)<R(K_4-e,K_5)=16\).
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planar graph
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Ramsey number
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forbidden subgraph
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