Steiner triple systems of order 19 and 21 with subsystems of order 7

Petteri Kaski,Patric R.J Östergård,Svetlana Topalova,Rosen Zlatarski

doi:10.1016/j.disc.2006.06.038

Steiner triple systems of order 19 and 21 with subsystems of order 7

Petteri Kaski, Patric R.J Östergård + Show 2 more

Open Access

https://doi.org/10.1016/j.disc.2006.06.038

Copy DOI

Journal: Discrete Mathematics	Publication Date: Jun 6, 2007
Citations: 25	License type: elsevier-specific: oa user license

Affiliation: Helsinki Institute of Physics, University of Technology, Bulgarian Academy of Sciences, St. Cyril and St. Methodius University of Veliko Tarnovo, Institute of Mathematics and Informatics

#Subsystems Of Order #Steiner Triple Systems Of Order + Show 6 more

Abstract
Full-Text PDF
Similar Papers

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.

Full Text