Minimal diagrams of classical knots

Abstract

We show that if a classical knot diagram satisfies a certain combinatorial condition then it is minimal with respect to the number of classical crossings. This statement is proved by using the Kauffman bracket and the construction of atoms and knots.

References corrected

References in corpus (1)

• Minimal diagrams of classical and virtual links

Cited by in corpus (1)

• Minimal diagrams of virtual links: II