Quantum Topology / Hopf Algebra Seminar
Louis H Kauffman
UIC
Coloring Knots, Graphs and Knotted Graphs
Abstract: (Continued from Tuesday, January 6,2018)
In this talk we will compare the coloring of knots (so called Fox coloring and generalized to the subject
of the fundamental group and quandles (oriented and unoriented) of the knot) and colorings of graphs.
We are particularly interested in edge colorings of graphs where distinct sets
of colors are incident to each node. The two subjects intersect for three colorings of knots and graphs
and extend to colorings of knotted graphs with trivalent nodes.
We will discuss how the four color problem and the knot theory interact in this formulation.
Thursday January 18, 2018 at 3:00 PM in SEO 612