Properties of the Steiner triple systems of order 19 (Q986700)
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scientific article; zbMATH DE number 5769513
| Language | Label | Description | Also known as |
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| English | Properties of the Steiner triple systems of order 19 |
scientific article; zbMATH DE number 5769513 |
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Properties of the Steiner triple systems of order 19 (English)
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12 August 2010
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Summary: Properties of the 11 084 874 829 Steiner triple systems of order 19 are examined. In particular, there is exactly one 5-sparse, but no 6-sparse, STS(19); there is exactly one uniform STS(19); there are exactly two STS(19) with no almost parallel classes; all STS(19) have chromatic number 3; all have chromatic index 10, except for 4 075 designs with chromatic index 11 and two with chromatic index 12; all are 3-resolvable; and there are exactly two 3-existentially closed STS(19).
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automorphism
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chromatic index
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chromatic number
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configuration
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cycle structure
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existential closure
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independent set
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partial parallel class
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rank
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Steiner triple system of order 19
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