On linear $n$-colorings for knots
Geometric Topology
2012-02-29 v2
Abstract
If a knot has the Alexander polynomial not equal to 1, then it is linear -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.
Cite
@article{arxiv.1110.3952,
title = {On linear $n$-colorings for knots},
author = {Chuichiro Hayashi and Miwa Hayashi and Kanako Oshiro},
journal= {arXiv preprint arXiv:1110.3952},
year = {2012}
}
Comments
14pages, 4 figures