Properties of the Steiner Triple Systems of Order 19
Keyword(s):
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).
2003 ◽
Vol 19
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pp. 335-345
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2005 ◽
Vol 299
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pp. 120-128
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pp. 225-234
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pp. 2603-2611
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1984 ◽
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pp. 105-110
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