Steiner triple systems of order 19 and 21 with subsystems of order 7 (2008)
AUTHORS:
Kaski Petteri
,
Östergård Patric R. J.,
Topalova Svetlana,
Zlatarski Rosen
JOURNAL:
Discrete Mathematics
VOLUME:
308
PAGES:
2732--2741
URL:
http://www.tcs.hut.fi/~pkaski
@article{ KOTZ08, author = {Kaski, Petteri and {\"O}sterg{\aa}rd, Patric R. J. and Topalova, Svetlana and Zlatarski, Rosen}, title = "Steiner triple systems of order 19 and 21 with subsystems of order 7", url = "http://www.tcs.hut.fi/~pkaski", journal = "Discrete Mathematics", number = "13", abstract = "Steiner triple systems (STSs) with subsystems of order 7 are classified. For order 19, this classification is complete, but for order 21 it is restricted to Wilson-type systems, which contain three subsystems of order 7 on disjoint point sets. The classified STSs of order 21 are tested for resolvability; none of them is doubly resolvable.", volume = "308", year = "2008", keywords = "classification, doubly resolvable design, Steiner triple system, subsystem", pages = "2732--2741" }