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On large sets of disjoint steiner triple systems I

โœ Scribed by Lu Jia-Xi

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
378 KB
Volume
34
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES

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Let D(u) be the maximum number of pairwk disjoint Steiner triple sysiems of order v. We prove that D(3v:r 2 2v + D(v) for every u = 1 oi 3 (mod 6), u 2 3. As a corollary, we have D(3n) -3n-2 for every n 2 1.

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In this article, we construct overlarge sets of disjoint S(3, 4, 3 n -1) and overlarge sets of disjoint S(3, 4, 3 n + 1) for all n โ‰ฅ 2. Up to now, the only known infinite sequence of overlarge sets of disjoint S(3, 4, v) were the overlarge sets of disjoint S(3, 4, 2 n ) obtained from the oval conics