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Class-uniformly resolvable pairwise balanced designs with block sizes two and three

✍ Scribed by Esther Lamken; Rolf Rees; Scott Vanstone

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 864 KB
Volume: 92
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(91)90281-6

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✦ Synopsis

Lamken, E., R. Rees and S. Vanstone, Class-uniformly resolvable painvise balanced designs with block sixes two and three, Discrete Mathematics 92 (1991) 197-209. A class-uniformly resolvable pairwise balanced design CURD(K;p. r) is a pairwise balanced design (of index 1) on p points, with block sixes from the set K, whose block set can be resolved into r parallel classes, each parallel class containing a fnted number ok of blocks of size k E K. We indicate why such design arise and give some examples for K = {2,3}.

📜 SIMILAR VOLUMES

Super-simple resolvable balanced incompl

Super-simple resolvable balanced incomplete block designs with block size 4 and index 3

✍ Gennian Ge; C. W. H. Lam 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 124 KB

## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with __k__ = 4 and λ = 3, are that __v__ ≥ 8 and __v__ ≡ 0 mod 4. These conditions are shown to be sufficient except for __v__ = 12. © 2003 Wiley Periodicals, Inc.

Super-simple resolvable balanced incompl

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## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with block size __k__ = 4 and index λ = 2, are that __v__ ≥ 16 and $v \equiv 4\; (\bmod\; {12})$. These conditions are shown to be sufficient. © 2006 Wiley Periodical

An infinite class of fibres in CURDs wit

An infinite class of fibres in CURDs with block sizes two and three

✍ Melissa S. Keranen; Rolf S. Rees; Alan C.H. Ling 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 207 KB

## Abstract Class‐uniformly resolvable designs (CURDs) are introduced by Lamken et al. Discrete Math 92 (1991) 197–209. In Wevrick and Vanstone, J Combin Designs 4 (1996) 177–202, a classification scheme is developed based on the ratio __a__:__b__ of pairs to triples. Asymptotic existence results a