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Quandle coloring quivers of \((p,q)\)-torus links - MaRDI portal

Quandle coloring quivers of \((p,q)\)-torus links (Q6590033)

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scientific article; zbMATH DE number 7899099
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Quandle coloring quivers of \((p,q)\)-torus links
scientific article; zbMATH DE number 7899099

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    Quandle coloring quivers of \((p,q)\)-torus links (English)
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    21 August 2024
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    Quandle coloring quivers were introduced in [\textit{K. Cho} and \textit{S. Nelson}, J. Knot Theory Ramifications 28, No. 1, Article ID 1950001, 12 p. (2019; Zbl 1420.57032)]. Since then there has been interest in this subject, in particular, in the case of torus links \(T(p,q)\). In [ibid. 31, No. 9, Article ID 2250057, 14 p. (2022; Zbl 1500.57001)], \textit{J. Basi} and \textit{C. Caprau} gave the structure of the quandle coloring quiver of a \(T(p,2)\) torus link with respect to a dihedral quandle of order \(n\). Similarly, the case of \(T(p,3)\) was investigated in [\textit{B. Zhou} and \textit{X. Liu}, J. Knot Theory Ramifications 32, No. 3, Article ID 2350016, 23 p. (2023; Zbl 1518.57014)].\N\NThe authors of the article under review investigate quandle coloring quivers of the torus links \(T(p,4)\) and \(T(p,5)\) and make a conjecture about the general torus link \(T(p,q)\). The conjecture has been solved in [\textit{M. Elhamdadi} et al., J. Algebr. Comb. 61, No. 1, Paper No. 4, 17 p. (2025; Zbl 07960246)].
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    quandle coloring quivers
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    dihedral quandles
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    \((p, q)\)-torus links
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