Research ArticleNo Access

Minimal coloring numbers on minimal diagrams of torus links

Department of Mathematics, College of Humanities and Sciences, Nihon University, 3-25-40 Sakurajosui, Setagaya-ku, Tokyo 156-8550, Japan

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Katsumi Ishikawa

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan

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, and

Eri Matsudo

Institute of Natural Sciences, Nihon University, 3-25-40 Sakurajosui, Setagaya-ku, Tokyo 156-8550, Japan

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https://doi.org/10.1142/S0218216520500595Cited by:0 (Source: Crossref)

Abstract

We determine the minimal number of colors for nontrivial $ℤ$ -colorings on the standard minimal diagrams of $ℤ$ -colorable torus links. Also included is a complete classification of such $ℤ$ -colorings, which are shown by using rack colorings on link diagrams.

Keywords:

AMSC: 57M25

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