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 , % ) a
Embedding partial Mendelsohn triple systems
โ Scribed by C.A Rodger
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 634 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0012-365X
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๐ SIMILAR VOLUMES
## Abstract It is proved in this article that the necessary and sufficient conditions for the embedding of a ฮปโfold pure Mendelsohn triple system of order __v__ in ฮปโ__fold__ pure Mendelsohn triple of order __u__ are ฮป__u__(__u__ โ 1) โก 0 (mod 3) and __u__ โฉพ 2__v__ + 1. Similar results for the embe
A cyclic triple (a, b, c) is defined to be set { (a, b) ,(b,c),(c,a)} of ordered pairs. A Mendelsohn triple system of order v, M(2,3, u), is a pair (M, fi), w h ere M is a set of u points and fi is a collection of cyclic triples of pairwise distinct points of M such that any ordered pair of distinct