Minimal coloring numbers on minimal diagrams of torus links

Kazuhiro Ichihara; Katsumi Ishikawa; Eri Matsudo

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arXiv · 1908.00857

Minimal coloring numbers on minimal diagrams of torus links

Kazuhiro Ichihara·Katsumi Ishikawa·Eri Matsudo

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Abstract

We determine the minimal number of colors for non-trivial $\mathbb{Z}$-colorings on the standard minimal diagrams of $\mathbb{Z}$-colorable torus links. Also included are complete classifications of such $\mathbb{Z}$-colorings and of such $\mathbb{Z}$-colorings by only four colors, which are shown by using rack colorings on link diagrams.

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Kazuhiro Ichihara, Katsumi Ishikawa, Eri Matsudo. 2019-08-02. Minimal coloring numbers on minimal diagrams of torus links. https://arxiv.org/abs/1908.00857

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