## 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