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On sets of pairwise disjoint blocks in Steiner triple systems

✍ Scribed by E.T Parker

Book ID: 107884820
Publisher: Elsevier Science
Year: 1975
Tongue: English
Weight: 79 KB
Volume: 19
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(75)90096-5

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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