## Abstract The object of this paper is the construction of incomplete group divisible designs (IGDDs) with block size four, groupβtype (__g, h__)^__u__^ and index unity. It is shown that the necessary conditions for the existence of such an IGDD are also sufficient with three exceptions and six po
On group-divisible designs with block size four and group-type 6um1
β Scribed by Gennian Ge; R Rees
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 291 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
In this paper we study the group-divisible designs with block size four on at most 30 points. For all but three of the possible group types, we determine the existence or non-existence of the design.
In this paper it is shown that the MGD[4, 1, m, mn] exist when (m -1 )(n -1 ) -1 (mod 3) and n,m>~4 with some possible exceptions.
We investigate the spectrum for {4}-GDDs of type g u m 1 . We determine, for each admissible pair (g, u) (with some exceptions), the maximum and minimum values of m for which a {4}-GDD of type g u m 1 exists.
Dedicated to Professor Haim Hanani on the occasion of his 75th birthday