Quantum Topology / Hopf Algebra Seminar
Louis H Kauffman
UIC
Coloring Knots, Graphs and Knotted Graphs
Abstract: 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.
Tuesday January 16, 2018 at 3:00 PM in SEO 612