arXiv:math/0501510 Abstract

arXiv:math/0501510 [math.GT]Abstract References Reviews Resources

Minimal diagrams of classical knots

Published 2005-01-28, updated 2005-02-15Version 3

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.

Comments: References corrected

Categories: math.GT

Subjects: 57M25

Keywords: minimal diagrams, classical knot diagram satisfies, kauffman bracket, combinatorial condition, classical crossings

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