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Construction of Large Sets of Pairwise Disjoint Transitive Triple Systems

โœ Scribed by Lindner, C.C.; Street, Anne Penfold


Book ID
122518271
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
740 KB
Volume
4
Category
Article
ISSN
0195-6698

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Construction of large sets of pairwise d
โœ C.C Lindner ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 563 KB

The maximum number of pairwise disjoint transitive triple systems (T'I'Ss) of order n is 3(n -2). Such a collection is called a large set of pairwise disjoint TI'Ss of order n. The main result in this paper is the proof of the following theorem: If n -1 or 5 (rood 6), and there exists a large set of