✦ LIBER ✦

Existence of incomplete resolvable minimum coverings of pairs by triples

✍ Scribed by Hao Shen; Renwang Su; Dameng Deng

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 373 KB
Volume: 279
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(03)00285-1

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✦ Synopsis

For given positive integers u and v with u ≡ v ≡ 0 (mod 6), let IRC(u; v) denote an incomplete resolvable minimum covering of pairs by triples of order u having a hole of size v. It is proved in this paper that there exists such an IRC(u; v) if and only if u ¿ 3v.

📜 SIMILAR VOLUMES

Maximal resolvable packings and minimal

Maximal resolvable packings and minimal resolvable coverings of triples by quadruples

✍ Xiande Zhang; Gennian Ge 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB

## Abstract Determination of maximal resolvable packing number and minimal resolvable covering number is a fundamental problem in designs theory. In this article, we investigate the existence of maximal resolvable packings of triples by quadruples of order __v__ (MRPQS(__v__)) and minimal resolvabl