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ALGEBRA AND COMBINATORICS SEMINAR Tuesday 3 June 2008, 3pm in Priestly 641 (Note back to the old venue) Tom McCourt, UQ The Intersection Problem for Disjoint 2-Flowers in Steiner Triple Systems. Abstract A Steiner Triple System of order v is a collection of unordered triples (called blocks or triangles) chosen from a set V of size v in such a way that each unordered pair of elements of V occurs in precisely one block. A Steiner triple system of order v is denoted STS(v). It is well known that the spectrum for STS(v) is v≡1 or 3 (mod 6). A collection of m triangles in a Steiner triple system that all share precisely one common element is said to be an m-flower.
The intersection problem for pairs of Steiner triple systems was completely solved by Lindner and Rosa in 1975.
Steiner triple systems intersecting in pairwise disjoint (v-1)/2-flowers where considered by Hoffman and Lindner in 1987.
More recently Steiner triple systems intersecting in pairwise disjoint blocks were considered by Chee in 2006.
In this talk we will consider Steiner triple systems intersecting in pairwise disjoint 2-flowers (or bowties).
 http://www.maths.uq.edu.au/cdmc/Seminars.html |