Quandle Coloring Quivers of general Torus links by dihedral quandles

Brooke Jones; Minghui Liu; Mohamed Elhamdadi

Quandle Coloring Quivers of general Torus links by dihedral quandles

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arxiv 2403.04534 v1 pith:N6DY4UPI submitted 2024-03-07 math.GT math.COmath.QA

Mohamed Elhamdadi , Brooke Jones , Minghui Liu This is my paper

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keywords coloringsnumberquivercoloringcompletedihedralgenerallinks

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We completely characterize the coloring quivers of general torus links by dihedral quandles by first exhausting all possible numbers of colorings, followed by determining the interconnections between colorings in each case. The quiver is obtained as function of the number of colorings. The quiver always contains complete subgraphs, in particular a complete subgraph corresponding to the trivial colorings, but the total number of subgraphs in the quiver and the weights of their edges varies depending on the number of colorings.

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