Minimum embedding of a \(P_{4}\)-design into a balanced incomplete block design of index \(\lambda \) (Q1044960)
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: Minimum embedding of a \(P_{4}\)-design into a balanced incomplete block design of index \(\lambda \) |
scientific article; zbMATH DE number 5648032
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimum embedding of a \(P_{4}\)-design into a balanced incomplete block design of index \(\lambda \) |
scientific article; zbMATH DE number 5648032 |
Statements
Minimum embedding of a \(P_{4}\)-design into a balanced incomplete block design of index \(\lambda \) (English)
0 references
15 December 2009
0 references
The problem of embedding a \(P_4\)-design of index \(\mu\) with \(v\) elements into a balanced incomplete block design of index \(\lambda\) and block size four, having \(v+w\) elements, is studied. In the case when \(\mu=1\), the minimum value of \(w\) is determined for each \(\lambda\) and \(v\), leaving only seven possible exceptions when \(\lambda=3\) and one when \(\lambda=5\).
0 references
path design
0 references
embedding
0 references
block design
0 references
0 references
