Unbalanced Steiner triple systems (Q1323826)
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scientific article; zbMATH DE number 584010
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unbalanced Steiner triple systems |
scientific article; zbMATH DE number 584010 |
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Unbalanced Steiner triple systems (English)
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8 June 1994
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The authors study colouring properties of Steiner triple systems and derive several inequalities for sizes of their colour classes. Answering a question of A. Rosa, they give a construction (for any \(l\geq 6\)) of a family of \(l\)-chromatic Steiner triple systems with the following remarkable property: No matter how they are \(l\)-coloured, almost all vertices belong to the largest three colour classes.
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colouring
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Steiner triple systems
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colour classes
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