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Determinants of rational knots

Abstract : We study the Fox coloring invariants of rational knots. We express the propagation of the colors down the twists of these knots and ultimately the determinant of them with the help of finite increasing sequences whose terms of even order are even and whose terms of odd order are odd.
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Louis H. Kauffman, Pedro Lopes. Determinants of rational knots. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2009, 11 (2), pp.111--122. ⟨hal-00988214⟩

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