A tripling construction for overlarge sets of KTS (Q1011740)
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: A tripling construction for overlarge sets of KTS |
scientific article; zbMATH DE number 5542395
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A tripling construction for overlarge sets of KTS |
scientific article; zbMATH DE number 5542395 |
Statements
A tripling construction for overlarge sets of KTS (English)
0 references
9 April 2009
0 references
An overlarge set of Steiner triple systems of order \(v\) is a partition of all triples on \(v+1\) points into Steiner triple systems. When each of the Steiner triple systems in the partition is resolvable, one obtains an overlarge set of Kirkman triple systems (OLKTS). This paper shows that, under certain conditions, an OLKTS of order \(v\) can be used to produce an OLKTS of order \(3v\). As a consequence an infinite class of OLKTS is produced.
0 references
Kirkman triple system
0 references
generalized frame
0 references
overlarge set
0 references
OLKTS
0 references
