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Embeddings of resolvable mendelsohn triple systems

✍ Scribed by F. E. Bennett; R. Wei

Publisher: John Wiley and Sons
Year: 1993
Tongue: English
Weight: 792 KB
Volume: 1
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.3180010404

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✦ Synopsis

In this article it is shown that any resolvable Mendelsohn triple system of order u can be embedded in a resolvable Mendelsohn triple system of order v iff v 2 3u, except possibly for 71 values of (u,v). 0 1993 John Wiley & Sons, Inc.

Theorem 1.1. A RMTS(v) exists if and only if

If ( X , % ) and ( Y , d ) are two RMTSs with parallel classes D , , . . . , D , and

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