Fox N-coloring

Fox N-coloring

In the mathematical field of knot theory, Fox n-coloring is a method of specifying a representation of a knot group (or a link group) onto the dihedral group of order n where n is an odd integer by coloring arcs in a link diagram (the representation itself is also often called a Fox n-coloring). Ralph Fox discovered this method (and the special case of tricolorability) "in an effort to make the subject accessible to everyone" when he was explaining knot theory to undergraduate students at Haverfold College in 1956. Fox n-coloring is an example of a conjugation quandle.

Read more about Fox N-coloring:  Definition, Number of Colorings, Generalization To G-coloring

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