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A theorem on the maximum number of disjoint steiner triple systems

โœ Scribed by Alexander Rosa

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
389 KB
Volume
18
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES

On the maximum number of disjoint Steine
On the maximum number of disjoint Steiner triple systems
โœ Luc Teirlinck ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 184 KB

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.