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math.GT2026
R-equivalence of quandle colorings and inner automorphisms
Mai Sato
R-equivalence is an equivalence relation on the set of colorings of an oriented knot diagram by a quandle. In this paper, we show that a certain subgroup of the inner automorphism…
math.GT2025
R-equivalence classes of -colorings of torus knots
Mai Sato
We introduce a new equivalence relation, named R-equivalence relation, on the set of colorings of an oriented knot diagram by a quandle. We determine the R-equivalence classes of c…