A Ramsey-style extension of a theorem of Erdős and Hajnal (Q2773241)
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scientific article; zbMATH DE number 1709829
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Ramsey-style extension of a theorem of Erdős and Hajnal |
scientific article; zbMATH DE number 1709829 |
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A Ramsey-style extension of a theorem of Erdős and Hajnal (English)
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21 February 2002
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\(n\)-chromatic graph
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The author proves: If \(n\) and \(t\) are natural numbers, \(\mu\) an infinite cardinal and \(G\) an \(n\)-chromatic graph of cardinality at most \(\mu\), then there is a graph \(X\) with \(X\to (G)^1_\mu\) and \(|X|= \mu^+\) such that every subgraph of \(X\) of cardinality less than \(t\) is \(n\)-colorable.
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