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Embeddings of pure mendelsohn triple systems and pure directed triple systems

✍ Scribed by Shen Hao

Publisher: John Wiley and Sons
Year: 1995
Tongue: English
Weight: 493 KB
Volume: 3
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.3180030106

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✦ Synopsis

Abstract

It is proved in this article that the necessary and sufficient conditions for the embedding of a λ‐fold pure Mendelsohn triple system of order v in λ‐fold pure Mendelsohn triple of order u are λ__u__(u − 1) ≡ 0 (mod 3) and u ⩾ 2__v__ + 1. Similar results for the embeddings of pure directed triple systems are also obtained. © 1995 John Wiley & Sons, Inc.

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