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The Doyen—Wilson theorem for minimum coverings with triples

✍ Scribed by H. L. Fu; C. C. Lindner; C. A. Rodger

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 197 KB
Volume: 5
Category: Article
ISSN: 1063-8539
DOI: 10.1002/(sici)1520-6610(1997)5:5<341::aid-jcd3>3.0.co;2-f

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✦ Synopsis

In this article necessary and sufficient conditions are found for a minimum covering of Km with triples to be embedded in a minimum covering of Kn with triples.

📜 SIMILAR VOLUMES

Doyen–Wilson theorem for nested Steiner

Doyen–Wilson theorem for nested Steiner triple systems

✍ Jinhua Wang; Hao Shen 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB 👁 1 views

## Abstract The obvious necessary conditions for the existence of a nested Steiner triple system of order __v__ containing a nested subsystem of order __w__ are __v__ ≥ 3__w__ + 4 and __v__ ≡ w ≡ 1 (mod 6). We show that these conditions are also sufficient. © 2004 Wiley Periodicals, Inc.