Presenter: David Pike, Memorial University of Newfoundland
A $\lambda$-fold triple system of order $v$ consists of a $v$-set $V$ and a collection of 3-subsets (called blocks or triples) of $V$ such that each 2-subset of $V$ occurs in exactly $\lambda$ of the system's triples. Given a $\lambda$-fold triple system with $\lambda > 1$, we can ask whether its triples can be ordered so that the union of any two consecutive triples consists of four elements of $V$. We will describe
some potential applications, briefly review previous results, and discuss some recent work concerning the nonexistence / existence of such
orderings, with emphasis on 2-fold triple systems. This is joint work with Aras Erzurumluo\u{g}lu.
About Pure mathematics seminars
We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.
Seminars are usually held on Tuesdays from 2 to 3pm.
Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.
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