Coloring links by the symmetric group of degree three
Geometric Topology
2022-10-05 v2
Abstract
We consider the number of colors for the colorings of links by the symmetric group of degree . For knots, such a coloring corresponds to a Fox 3-coloring, and thus the number of colors must be 1 or 3. However, for links, there are colorings by with 4 or 5 colors. In this paper, we show that if a 2-bridge link admits a coloring by with 5 colors, then the link also admits such a coloring with only 4 colors.
Cite
@article{arxiv.2112.02515,
title = {Coloring links by the symmetric group of degree three},
author = {Kazuhiro Ichihara and Eri Matsudo},
journal= {arXiv preprint arXiv:2112.02515},
year = {2022}
}
Comments
11 pages, 16 figures