๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the embeddings of mendelsohn triple systems

โœ Scribed by Shen Hao

Book ID
110567437
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1993
Tongue
English
Weight
229 KB
Volume
9
Category
Article
ISSN
1439-7617

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Embeddings of resolvable mendelsohn trip
Embeddings of resolvable mendelsohn triple systems
โœ F. E. Bennett; R. Wei ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 792 KB

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

Embeddings of pure mendelsohn triple sys
Embeddings of pure mendelsohn triple systems and pure directed triple systems
โœ Shen Hao ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 493 KB

## Abstract It is proved in this article that the necessary and sufficient conditions for the embedding of a ฮปโ€fold pure Mendelsohn triple system of order __v__ in ฮปโ€__fold__ pure Mendelsohn triple of order __u__ are ฮป__u__(__u__ โˆ’ 1) โ‰ก 0 (mod 3) and __u__ โฉพ 2__v__ + 1. Similar results for the embe

On indecomposable pure Mendelsohn triple
On indecomposable pure Mendelsohn triple systems
โœ F.E. Bennett; Hao Shen ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 647 KB

## Bennett, F.E. and H. Shen, On indecomposable pure Mendelsohn triple systems, Discrete Mathematics 97 (1991) 47-57. Let u and I be positive integers. A Mendelsohn triple system MTS(u, A) is a pair (X, a), where X is a u-set (of points) and %? is a collection of cyclically ordered 3-subsets of X