On linear $n$-colorings for knots

Details On linear $n$-colorings for knots On linear $n$-colorings for knots

2011-10-18

arxiv.org/abs/1110.3952v2

Mathematics

Geometric Topology

14pages, 4 figures

Scientific paper

If a knot has the Alexander polynomial not equal to 1, then it is linear $n$-colorable. By means of such a coloring, such a knot is given an upper bound for the minimal quandle order, i.e., the minimal order of a quandle with which the knot is quandle colorable. For twist knots, we study the minimal quandle orders in detail.

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