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arxiv: 0906.1612 · v2 · pith:6PRK6HMBnew · submitted 2009-06-08 · 🧮 math.GT

A proof of the Kauffman-Harary Conjecture

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keywords conjecturedifferentkauffman-hararyalternatingarcsassigncolorsdeterminant
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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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