Vanstone has shown a procedure, called r-com?!ementation, to construct a regular pairwise balanced design from an existing regular pairwise balanced design. In this paper, we give a generalization of r-complementation, called balanced complementation. Necessary and sufficient conditions for balance
On the structure of regular pairwise balanced designs
โ Scribed by David McCarthy; S.A. Vanstone
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 664 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
It is shown that the block-intersection graph of a pairwise balance design with ),= l is edge-pancyclic given that its minimum block cardinality is at least 3.
An affine ฮฑ-resolvable PBD of index ฮป is a triple (V, B, R), where V is a set (of points), B is a collection of subsets of V (blocks), and R is a partition of B (resolution), satisfying the following conditions: (i) any two points occur together in ฮป blocks, (ii) any point occurs in ฮฑ blocks of each
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