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
Graphical t-designs with block sizes three and four
β Scribed by Yeow Meng Chee
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 297 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
In this paper, we give constructions of block designs with block size 4 and index 1, for L = 3, 6 which have a blocking set for all admissible orders (with at most 5 possible exceptions). A design which admits a blocking set is 2-colorable. These results, in conjunction with an earlier paper [l], s
Let M = {m1 , m2 , . . . , m h } and X be a v-set (of points). A holey perfect Mendelsohn designs (briefly (v, k, Ξ») -HPMD), is a triple (X, H, B), where H is a collection of subsets of X (called holes) with sizes M and which partition X, and B is a collection of cyclic k-tuples of X (called blocks)
## 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
In this paper an inequality for the smallest positive eigenvalues of the \_C-matrix of a block design are derived. This inequality is a generalization of a result by CONSTANTINE (1982) to the caw of unequal block sizes. On the basis of the above result a certain E-optimality criterium of block desig