USA Topology Seminar
Duality and medial graphs
Iain Moffatt, University of South Alabama
Details
Friday, October 30, 2009
ILB 370
1:00-2:00 pm
Abstract
I will start with two basic and well known ideas from graph theory: dual graphs and medial graphs. Duals and medial graphs are intimately related. It is well known that two embedded graphs are duals if and only if their medial graphs are equal as embedded graphs. In this talk I will describe how new generalizations of duality arise naturally by changing the notion of "equality" in this relation. Along the way I'll describe how to construct Tait graphs of non-checkerboard colourable embedded graphs. This provides a way to construct Tait graphs of arbitrary virtual link diagrams.
This talk should be accessible to graduate students.