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Graphical t-designs with block sizes three and four

✍ 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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πŸ“œ SIMILAR VOLUMES


Class-uniformly resolvable pairwise bala
✍ Esther Lamken; Rolf Rees; Scott Vanstone πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 864 KB

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

Blocking sets in designs with block size
✍ D.G. Hoffman; C.C. Lindner; ; K.T. Phelps πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 456 KB

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

Perfect Mendelsohn designs with equal-si
✍ F. E. Bennett; Zhang Xuebin πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 149 KB πŸ‘ 2 views

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)

Incomplete group divisible designs with
✍ J. Wang πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 141 KB

## Abstract The object of this paper is the construction of incomplete group divisible designs (IGDDs) with block size four, group‐type (__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 the E-Optimality of Block Designs wit
✍ Dr. Henryk Brzeskwiniewicz πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 192 KB πŸ‘ 2 views

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