New classes of minimal knot diagrams

Ilya Alekseev

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arXiv · 2012.04330

New classes of minimal knot diagrams

Ilya Alekseev

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Abstract

We describe a new class of minimal link diagrams. This class includes certain alternating diagrams, the standard diagrams of all torus links, and numerous homogeneous diagrams whose minimality has not been proven before. Besides, we describe a new larger class of link diagrams with the least number of Seifert circles among all diagrams of a given link. Our approach refers to the Morton-Franks-Williams inequality.

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BibTeX RIS

Ilya Alekseev. 2020-12-08. New classes of minimal knot diagrams. https://arxiv.org/abs/2012.04330

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