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On the number of disjoint Mendelsohn triple systems

โœ Scribed by C.C Lindner

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
248 KB
Volume
30
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.

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In this note, a construction of the large sets of pairwise disjoint Mendelsohn triple systems of order 72k + 6, where k > 1 and k F 1 or 2 (mod 3), is given. Let X be a set of v elements (v 2 3). A cyclic triple from X is a collection of three pairs (x, y), (y,z) and (z, x), where x,y and z are dis

The spectrum for large sets of disjoint
The spectrum for large sets of disjoint mendelsohn triple systems with any index
โœ Qing-De Kang; Jian-Guo Lei; Yan-Xun Chang ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 369 KB ๐Ÿ‘ 1 views

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