Two series of BIB designs (Q2713620)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Two series of BIB designs |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two series of BIB designs |
scientific article |
Statements
10 June 2001
0 references
balanced incomplete block design
0 references
triangular design
0 references
Two series of BIB designs (English)
0 references
The paper presents two constructions of PBIB designs with two classes of treatments that sometimes yield a BIB design. Treatments are in both constructions identified with unordered pairs of elements from a fixed set. Treatments can be thus regarded as edges of a complete graph, and thus one gets a class of pairs of edges that intersect, and a class of those that do not intersect. The first construction regards as blocks edges that form an \(m\)-cycle (for a fixed \(m\)), and the second uses two 4-designs in a certain way.
0 references
