An improvement to Mathon's cyclotomic Ramsey colorings (Q1010891)
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scientific article; zbMATH DE number 5541057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An improvement to Mathon's cyclotomic Ramsey colorings |
scientific article; zbMATH DE number 5541057 |
Statements
An improvement to Mathon's cyclotomic Ramsey colorings (English)
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7 April 2009
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Summary: We show how to extend Mathon's cyclotomic colorings of the edges of some complete graphs without increasing the maximum order of monochromatic complete subgraphs. This improves the well known lower bound construction for multicolor Ramsey numbers, in particular we obtain \(R_3(7) \geq 3214\).
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Mathon's cyclotomic colorings
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edge coloring
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monochromatic complete subgraphs
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multicolor Ramsey number
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0.9260865
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0.9189849
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0.91530704
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0.9116961
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0.90288967
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0.9026904
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0.90133303
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0.9004376
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0.89859647
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