On some Ramsey numbers for quadrilaterals (Q640402)
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scientific article; zbMATH DE number 5960016
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some Ramsey numbers for quadrilaterals |
scientific article; zbMATH DE number 5960016 |
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On some Ramsey numbers for quadrilaterals (English)
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18 October 2011
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Summary: We will prove that \(R(C_4, C_4, K_4 - e) = 16\). This fills one of the gaps in the tables presented in a 1996 paper by \textit{J. Arste}, \textit{K. Klamroth} and \textit{I. Mengersen} [Util. Math. 49, 85--96 (1996; Zbl 0854.05077)]. Moreover by using computer methods we improve lower and upper bounds for some other multicolor Ramsey numbers involving quadrilateral \(C_4\). We consider 3 and 4-color numbers, our results improve known bounds.
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computer methods
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multicolor Ramsey numbers
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