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Some sufficient conditions for a Steiner triple system to be a derived triple system

โœ Scribed by K.T. Phelps

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
228 KB
Volume
20
Category
Article
ISSN
0097-3165

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Formulae for the numbers of two, three, and four-line configurations in a Steiner triple system of order u, STS(u), are given. While the formulae for two and three-line configurations depend only on u , the same is true for only 5 of the 16 four-line configurations. For the other 11 and fixed u, the

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A formula is found for the total number of distinct Steiner triple systems on 2 n &1 points whose 2-rank is one higher than the possible minimum 2 n &n&1. The formula can be used for deriving bounds on the number of pairwise nonisomorphic systems for large n, and for the classification of all noniso