Trades in combinatorial matrices

Time is AEST

Seminar Abstract:

A trade or switching is a small local change that moves you
from one combinatorial object to a distinct object of the same
type. As I will explain, there are very many reasons why you
might want to do that!
Trades have been extensively studied in Latin squares,
binary matrices, Steiner triple systems, 1-factorisations and so on.
I will survey some of the results from those studies from the last
decade or so.
The last part of the talk will be devoted to some new(?) results
of myself and Padraig O’Cathain on trades in Hadamard matrices.
In particular we are interested in finding the smallest possible
trades.

Host University: RMIT University

Seminar Convener: Stelios Georgiou