The enumeration of knots is a problem central to knot theory; It focuses on the question of whether two given knots are in some sense the same. Two different means of defining a knot and equivalence of knots will be fully described and then shown to be equivalent. We then create an algebraic invariant which we can apply to the problem\ud
of knot enumeration. Finally, a topological understanding of this\ud
algebraic tool will be developed
