Embeddings of pure mendelsohn triple systems and pure directed triple systems | Zendy

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Embeddings of pure mendelsohn triple systems and pure directed triple systems

Author(s) -

Hao Shen

Publication year - 1995

Publication title -

journal of combinatorial designs

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.618

H-Index - 34

eISSN - 1520-6610

pISSN - 1063-8539

DOI - 10.1002/jcd.3180030106

Subject(s) - mathematics , triple system , combinatorics , order (exchange) , embedding , triple bond , discrete mathematics , pure mathematics , computer science , physics , artificial intelligence , double bond , finance , economics , nuclear magnetic resonance

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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