Minimal coloring numbers on minimal diagrams of torus links

2019/08/02 by Ichihara, Kazuhiro, Ishikawa, Katsumi, Matsudo, Eri
#57M25 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1908.00857

Abstract

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

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