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Quintessential pairwise balanced designs

โœ Scribed by Frank E. Bennett; Charles J. Colbourn; Ronald C. Mullin

Book ID
104340618
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
269 KB
Volume
72
Category
Article
ISSN
0378-3758

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๐Ÿ“œ SIMILAR VOLUMES

Resolvable pairwise balanced designs
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โœ Yury J. Ionin; Mohan S. Shrikhande ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 115 KB
Four 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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Percentages in pairwise balanced designs
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Let K = {k,, , k,} be a set of block sizes, and let (pr, , p,} be nonnegative numbers with Cy!',,p, = 1. We prove the following theorem: for any E >O, if a (u, K, 1) pairwise balanced design exists and v is sufficiently large, then a (u, K, 1) pairwise balanced design exists in which the fraction