On the number of small Steiner triple systems with Veblen points (Q6635123)
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scientific article; zbMATH DE number 7940911
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the number of small Steiner triple systems with Veblen points |
scientific article; zbMATH DE number 7940911 |
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On the number of small Steiner triple systems with Veblen points (English)
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9 November 2024
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Steiner triple systems of order \(v\), \(STS(v),\) have been enumerated for all admissible orders \(v\leq 19.\) As the enumeration of \(STS(v)\) for higher orders seems to be currently unfeasible, there is an effort to enumerate \( STS(v)\) having an additional property. A point \(x\) of a \(STS(v)\) is called a Veblen point if any two triples containing \(x\) belong to a Pash configuration. For orders \(v=19,27,31,\) the authors investigate the number of \(STS(v)\) with a small number of Veblen points.
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Steiner triple system
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loop
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Veblen point
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extension
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