Geodesic
A proof of the Kauffman–Harary Conjecture
Mattman, Thomas W1 ; Solis, Pablo2
1Department of Mathematics and Statistics, California State University, Chico, Chico, CA 95929-0525, USA
2Department of Mathematics, University of California, Berkeley, CA, USA
Algebraic and Geometric Topology, Tome 9 (2009) no. 4, pp. 2027-2039
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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 nontrivial Fox p–coloring of D will assign different colors to different arcs.

DOI : 10.2140/agt.2009.9.2027
Keywords: Kauffman–Harary Conjecture, Fox coloring, alternating knot

Mattman, Thomas W  1   ; Solis, Pablo  2

1 Department of Mathematics and Statistics, California State University, Chico, Chico, CA 95929-0525, USA
2 Department of Mathematics, University of California, Berkeley, CA, USA 
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Mattman, Thomas W; Solis, Pablo. A proof of the Kauffman–Harary Conjecture. Algebraic and Geometric Topology, Tome 9 (2009) no. 4, pp. 2027-2039. doi: 10.2140/agt.2009.9.2027

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