Obligatory subsystems of triple systems (Q949814)
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scientific article; zbMATH DE number 5355113
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Obligatory subsystems of triple systems |
scientific article; zbMATH DE number 5355113 |
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Obligatory subsystems of triple systems (English)
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21 October 2008
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The paper studies unavoidable configurations in triple systems with uncountable chromatic number, and with no two triples intersecting by 2 points. It is proved that every unavoidable subsystem is tripartite, and can be realised as the collection of rainbow-colored triangles in a finite 3-edge-colored graph. An infinite series of unavoidable systems is found.
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chromatic number
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uncountable hypergraphs
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0.8273292
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0.81533396
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