Sub-Ramsey numbers of arithmetic progressions (Q582303)
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scientific article; zbMATH DE number 4130415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sub-Ramsey numbers of arithmetic progressions |
scientific article; zbMATH DE number 4130415 |
Statements
Sub-Ramsey numbers of arithmetic progressions (English)
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1989
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A sub-k-coloring of 1,...,n is an assignment of colors to these numbers so that each color is used at most k-times. The number sr(m,k) is defined as the minimal such n that every sub-k-color of 1,...,n contains an arithmetic progression of m terms in which no two elements have the same color. Good upper and lower bounds for sr(m,k) are given.
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upper bounds
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sub-k-coloring
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lower bounds
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