Home > RHUMJ > Vol. 10 (2009) > Iss. 1

#### Article Title

#### Abstract

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.

#### Sponsor

Heather Dye, Department of Mathematics, McKendree University hadye@mckendree.edu

#### Recommended Citation

Bhandari, Kumud
(2009)
"Computing the Arrow Polynomial,"
*Rose-Hulman Undergraduate Mathematics Journal*: Vol. 10
:
Iss.
1
, Article 2.

Available at:
http://scholar.rose-hulman.edu/rhumj/vol10/iss1/2