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Resolvable pairwise balanced designs

โœ Scribed by Yury J. Ionin; Mohan S. Shrikhande


Book ID
104340642
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
115 KB
Volume
72
Category
Article
ISSN
0378-3758

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๐Ÿ“œ SIMILAR VOLUMES


Embeddability and construction of affine
โœ Boris Bekker; Yury J. Ionin; Mohan S. Shrikhande ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 315 KB ๐Ÿ‘ 1 views

An affine ฮฑ-resolvable PBD of index ฮป is a triple (V, B, R), where V is a set (of points), B is a collection of subsets of V (blocks), and R is a partition of B (resolution), satisfying the following conditions: (i) any two points occur together in ฮป blocks, (ii) any point occurs in ฮฑ blocks of each

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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 sixe

Quintessential pairwise balanced designs
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We construct pairwise balanced designs on 49, 57, 93, and 129 points of index unity, with block sizes 5, 9, 13, aud 29. This completes the determination of the unique minimal finite basis for the PBD-closed set which consists of the integers congruent to 1 modulo 4. The design on 129 points has been

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