A proof of the Kauffman-Harary Conjecture
Geometric Topology
2014-10-01 v2
Abstract
We prove the Kauffman-Harary Conjecture, posed in 1999: given a reduced, alternating diagram D of a knot with prime determinant p, every non-trivial Fox p-coloring of D will assign different colors to different arcs.
Cite
@article{arxiv.0906.1612,
title = {A proof of the Kauffman-Harary Conjecture},
author = {Thomas W. Mattman and Pablo Solis},
journal= {arXiv preprint arXiv:0906.1612},
year = {2014}
}
Comments
v2: Simplification of argument in Section 3; 10 pages and 3 figures