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Overlarge sets of Mendelsohn triple systems with resolvability

โœ 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

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Embeddings of resolvable mendelsohn trip
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

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โœ F. E. Bennett; R. Wei; L. Zhu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 165 KB ๐Ÿ‘ 2 views

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 โ‰ก 0 (mod 3)