Full paper in PDF:
$%S. Asami, On the Kauffman-Harary conjecture for Alexander quandle colorings, Rev. Mat. Complut. 19 (2006), no. 1, 139–143.%$

On the Kauffman-Harary Conjecture for Alexander Quandle Colorings
Soichiro ASAMI
Division of Mathematical Sciences and Physics,
Graduate School of Science and Technology, Chiba University,
1-33 Yayoi-cho, Inage-ku, Chiba, 263-8522 — Japan
xasami@g.math.s.chiba-u.ac.jp

Received: October 25, 2004
Accepted: September 9, 2005
ABSTRACT

The Kauffman-Harary conjecture is a conjecture for Fox’s colorings of alternating knots with prime determinants. We consider a conjecture for Alexander quandle colorings by referring to the Kauffman-Harary conjecture. We prove that this new conjecture is true for twist knots.

Key words: Kauffman-Harary conjecture, Alexander quandle.
2000 Mathematics Subject Classification: 57Q25, 57M42.