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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: n people attend a conference in Oberwolfach, where the dining room has round tables of sizes k_1, k_2, \ldots, k_t (with k_1 + \cdots + k_t = n). 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 F of order n, the complete graph K_n can be decomposed into copies of F. 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.

Musical Guests

  • TBA

This is a virtual zoom meeting.  If you would like to attend, please email the organizers for connection details.

[more information about the Math Kitchen Party summer talk series]

Details

Date:
July 2, 2020
Time:
8:00 pm - 9:00 pm
Event Category:

Venue

Zoom seminar

COVID-19 impacts on AARMS activities