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A completion of Lu's determination of the spectrum for large sets of disjoint Steiner triple systems

โœ Scribed by Luc Teirlinck


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
238 KB
Volume
57
Category
Article
ISSN
0097-3165

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The spectrum for LMTS(v, 1) has been obtained by Kang and Lei (Bulletin of the ICA, 1993). In this article, firstly, we give the spectrum for LMTS(v,3). Furthermore, by the existence of LMTS(v, 1) and LMTS(v, 3), the spectrum for LMTS(v, A) is completed, that is Y = 2 (mod A), v 2 A + 2, if A # 0 (m

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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