Triple systems in PG(2,q)

Embedding Steiner triple systems in hexagon triple systems

Avoidance in Triple Systems

Characterization of affine Steiner triple systems and Hall triple systems

It is known that a Steiner triple system is projective if and only if it does not contain the four-triple configuration C14. We find three configurations such that a Steiner Electronic Notes in Discrete Mathematics 29 (2007) 17–21 1571-0653/$ – see front matter © 2007 Elsevier B.V. All rights reserved. www.elsevier.com/locate/endm doi:10.1016/j.endm.2007.07.004 triple system is affine if and on...

Configurations in Steiner triple systems

" Combinatorial Designs and their Applications " c 1999 (copyright owner as specified in the book).

Directed Triple Systems

Directed triple systems are an example of block designs on directed graphs. A block design on a directed graph can be defined as follows. Let G be a directed graph of k vertices which contain no loops. Let S be a set of v elements. A collection of k-subsets of S with an assignment of the elements of each k-subset to the vertices of G is called a block design on G of order v if the following is ...