Overlarge sets of Mendelsohn triple systems with resolvability
โ Scribed by Zhou, Junling; Chang, Yanxun
- Book ID
- 118275948
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 228 KB
- Volume
- 313
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
An HMTS of type {n1 , n2 , . . . , n h } is a directed graph DKn 1 ,n 2 ,...,n h , which can be decomposed into 3-circuits. If the 3-circuits can be partitioned into parallel classes, then the HMTS is called an RHMTS. In this article it is shown that the RHMTSs of type m h exist when mh โก 0 (mod 3)