Determining if two knots are not equivalent in an efficient manner is important in the study of knots. The arrow polynomial, which is calculated from a virtual knot diagram and is invariant under the Reidemeister moves, can be used to determine if two knots are not equivalent and determine a lower bound on the virtual crossing number. In this paper, we present the necessary data structures and algorithms to represent a link diagram on a computer and calculate the arrow polynomial.
Heather Dye, Department of Mathematics, McKendree University firstname.lastname@example.org
"Computing the Arrow Polynomial,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 10
, Article 2.
Available at: http://scholar.rose-hulman.edu/rhumj/vol10/iss1/2