Self-converse large sets of pure Mendelsohn triple systems
โ Scribed by Jian Guo Lei; Cui Ling Fan; Jun Ling Zhou
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2009
- Tongue
- English
- Weight
- 271 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
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
The spectrum for LMTS(v, 1) has been obtained by Kang and Lei (Bulletin of the ICA, 1993). In this article, firstly, we give the spectrum for LMTS(v,3). Furthermore, by the existence of LMTS(v, 1) and LMTS(v, 3), the spectrum for LMTS(v, A) is completed, that is Y = 2 (mod A), v 2 A + 2, if A # 0 (m