On monochromatic paths in m-coloured tournaments (Q1108286)
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scientific article; zbMATH DE number 4066924
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On monochromatic paths in m-coloured tournaments |
scientific article; zbMATH DE number 4066924 |
Statements
On monochromatic paths in m-coloured tournaments (English)
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1988
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Suppose the arcs of a tournament \(T_ n\) are coloured with m colours in such a way that no subtournament \(T_ 3\) has its arcs coloured with 3 distinct colours. The author shows that such a tournament \(T_ n\) must contain a vertex u that can be reached by a monochromatic path from every other vertex v.
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arc colouring
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tournament
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monochromatic path
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