There are various properties of knots that should be noted. These include the crossing number, bridge number, and the genus.
These properties are actually special isotopy invariants of a knot's isotopic class. They represent the smallest value that a projection of an isotopic class can have. For instance, the crossing number is the least number of crossings that any projection of a given knot can have. Therefore, these properties do not directly represent features of a given projection or knot diagram.Previous Next