|
Organizers |
Signed Cyclic Graphs, Checkerboards and Virtual Links
by
Louis H Kauffman
University of Illinois at Chicago
Abstract: This talk is joint work with Qingying Deng.
A signed cyclic graph is a graph signs on its edges and cyclic orders for each node.
We show that signed cyclic graphs are in 1-1 correspondence with checkerboard colorable virtual link diagrams.
We give a graphical model for the bracket polynomial of the virtual link associated with a signed cyclic graph and compare with the signed Tutte polynomial.
We show how virtualization of crossings translates in the signed graph category and discuss problems about checkerboard colorings and free knots.
Other problems will be discussed depending on the time.
Date received: October 30, 2017
Copyright © 2017 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cboj-07.