## Abstract In this article, we first show that a group divisible 3βdesign with block sizes from {4, 6}, index unity and groupβtype 2^__m__^ exists for every integer __m__β₯ 4 with the exception of __m__β=β5. Such group divisible 3βdesigns play an important role in our subsequent complete solution t
New combinatorial designs and their applications to group testing
β Scribed by K.A. Bush; W.T. Federer; H. Pesotan; D. Raghavarao
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 494 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
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## Abstract Let __T__ and __T__^1^ be tournaments with __n__ elements, __E__ a basis for __T, E__β² a basis for Tβ², and __k__ β₯ 3 an integer. The dual of __T__ is the tournament Tβ of basis __E__ defined by __T__(__x, y__) = __T__(__y, x__) for all __x, y__ Ξ΅ __E__. A hemimorphism from __T__ onto __