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
Homogeneous embeddings of disjoint Mendelsohn triple systems
โ Scribed by Wensong Chu
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 426 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0378-3758
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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
In this note, a construction of the large sets of pairwise disjoint Mendelsohn triple systems of order 72k + 6, where k > 1 and k F 1 or 2 (mod 3), is given. Let X be a set of v elements (v 2 3). A cyclic triple from X is a collection of three pairs (x, y), (y,z) and (z, x), where x,y and z are dis