An independence system as knot invariant

Publication date: 15 June 2017

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.

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

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