## Abstract The object of this paper is the construction of incomplete group divisible designs (IGDDs) with block size four, groupโtype (__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
Edge-coloured designs with block size four
โ Scribed by Charles J. Colbourn; Douglas R. Stinson
- Book ID
- 105323874
- Publisher
- Springer
- Year
- 1988
- Tongue
- English
- Weight
- 659 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
๐ 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, 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
An a-resolvable BIBD is a BIBD with the property that the blocks can be partitioned into disjoint classes such that every class contains each point of the design exactly times. In this paper, we show that the necessary conditions for the existence of -resolvable designs with block size four are sufยฎ