Journal article
Embedding Steiner triple systems into Steiner systems S(2,4,v)
Abstract
We initiate a systematic study of embeddings of Steiner triple systems into Steiner systems S(2,4,v). We settle the existence of an embedding of the unique STS(7) and, with one possible exception, of the unique STS(9) into S(2,4,v). We also obtain bounds for embedding sizes of Steiner triple systems of larger orders.
Authors
Meszka M; Rosa A
Journal
Discrete Mathematics, Vol. 274, No. 1-3, pp. 199–212
Publisher
Elsevier
Publication Date
January 2004
DOI
10.1016/s0012-365x(03)00089-x
ISSN
0012-365X