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Quandle coloring quivers of general torus links by dihedral quandles

  • Mohamed Elhamdadi,
  • Brooke Jones,
  • Minghui Liu

摘要

We completely characterize the coloring quivers of general torus links, T(pq) where p is prime, 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 a 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 vary depending on the number of colorings.