A proof of the Kauffman-Harary Conjecture

Details A proof of the Kauffman-Harary Conjecture A proof of the Kauffman-Harary Conjecture

2009-06-08

arxiv.org/abs/0906.1612v2

Mathematics

Geometric Topology

v2: Simplification of argument in Section 3; 10 pages and 3 figures

Scientific paper

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.

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