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A construction of disjoint steiner triple systems

โœ Scribed by Donald Quiring

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
89 KB
Volume
27
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES

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The existence of incomplete Steiner triple systems of order v having holes of orders w and u meeting in z elements is examined, with emphasis on the disjoint (z 0) and intersecting (z 1) cases. When w ! u and v 2w u ร€ 2z, the elementary necessary conditions are shown to be sufยฎcient for all values o

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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.