An independence system as knot invariant
Geometric Topology
2019-03-05 v2 Combinatorics
Abstract
In this article, we define an independence system for a classical knot diagram and prove that the independence system is a knot invariant for alternating knots. We also discuss the exchange property for minimal unknotting sets. Finally, we show that there are knot diagrams where the independence system is a matroid and there are knot diagrams where it is not.
Keywords
Cite
@article{arxiv.1706.04770,
title = {An independence system as knot invariant},
author = {Usman Ali and Iffat Fida Hussain},
journal= {arXiv preprint arXiv:1706.04770},
year = {2019}
}
Comments
13 pages,10 figures