Minimal coloring number for Z-colorable links

Kazuhiro Ichihara; Eri Matsudo

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arXiv · 1605.08127

Minimal coloring number for Z-colorable links

Kazuhiro Ichihara·Eri Matsudo

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Abstract

For a link with zero determinants, a Z-coloring is defined as a generalization of Fox coloring. We call a link having a diagram which admits a non-trivial Z-coloring a Z-colorable link. The minimal coloring number of a Z-colorable link is the minimal number of colors for non-trivial Z-colorings on diagrams of the link. We give sufficient conditions for non-splittable Z-colorable links to have the least minimal coloring number.

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Kazuhiro Ichihara, Eri Matsudo. 2016-05-26. Minimal coloring number for Z-colorable links. https://arxiv.org/abs/1605.08127

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