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Embeddings of Resolvable Triple Systems

✍ Scribed by Hao Shen; Yizhu Wang

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 165 KB
Volume: 89
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1999.2997

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✦ Synopsis

Let RB(3, *; v) denote a resolvable *-fold triple system of order v. It is proved in this paper that the necessary and sufficient conditions for the embedding of an RB(3, *; v) in an RB(3, *; u) are u 3v and (i) u#v#3 (mod 6) if *#1 (mod 2), (ii) u#v#3 (mod 3) if *#0 (mod 4), or (iii) u#v#0 (mod 3) and v{6 if *#2 (mod 4). Necessary and sufficient conditions for the embeddings of resolvable directed triple systems are also determined for all *.

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