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Math Kitchen Party: organized by Branimir Cacic (UNB Fredericton)
July 2, 2020 @ 8:00 pm - 9:00 pm
The Oberwolfach Problem
Andrea Burgess (UNB Saint John)
The Oberwolfach Problem was posed by Ringel as a seating problem: people attend a conference in Oberwolfach, where the dining room has round tables of sizes (with ). Is it possible to devise a seating plan over successive dinners in which each person sits next to each other person exactly once?
In graph-theoretical terms, the Oberwolfach Problem asks whether, given a 2-factor of order , the complete graph can be decomposed into copies of . In this talk, we present solutions of the Oberwolfach Problem obtained via graceful labellings. This is joint work with Peter Danziger (Ryerson) and Tommaso Traetta (Brescia).
The Unitary Birkhoff-von Neumann theorem
Stijn De Baerdemacker (UNB Fredericton)
Birkhoff has shown that the doubly stochastic matrices can be written as a weighted sum over the permutation matrices of the same dimension. I will show that a similar theorem holds for unitary matrices with equal linesum, and talk about applications in quantum computing.
This is a virtual zoom meeting. If you would like to attend, please email the organizers for connection details.