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  1. Home > Articles & Issues >
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  3. Determinants of rati ...
Article

Determinants of rational knots

Louis H. Kauffman (1), Pedro Lopes (2)
(1) Department of Mathematics, Statistics and Computer Science [Chicago]
(2) Departamento de Matemática [Lisbonne]
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Imported on
March 26, 2015
Published on
January 1, 2009
Last modified on
March 31, 2025
Volume 11
vol. 11:2
Combinatorics
DOI
10.46298/dmtcs.454
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https://about.hal.science/hal-authorisation-v1
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Determinants of rational knots

Louis H. Kauffman (1), Pedro Lopes (2)
(1) Department of Mathematics, Statistics and Computer Science [Chicago]
(2) Departamento de Matemática [Lisbonne]
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.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
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