COMBINATORIAL KNOTS AND BUTTERFLIES
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Keywords

Knots
links
combinatory
3-manifold

How to Cite

COMBINATORIAL KNOTS AND BUTTERFLIES. (2023). Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 28(106), 79-86. https://doi.org/10.18257/raccefyn.28(106).2004.2022

Abstract

This paper employs combinatorial knot theory to generate an n-butterfly linked to a knot diagram with n crosses, detailing an algorithm and its execution within the Mathematica software.

PDF (Spanish)

References

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Cairns, G. and Elton, D. The Planarity Problem for Signed Gauss Words, Journal of Knot Theory and its Ramifications, Vol. 2, No. 4 (1993) 359-367.

Hilden, M., Montesinos, J., Tejada, D. y Toro, M., Mariposas y 3-Variedades, Festival Académico, dedicado a la memoria del Profesor J. Charris, Universidad Nacional de Colombia, Bogotá, agosto, 2003.

Hilden, M., Montesinos, J., Tejada, D. y Toro, M., Butterflies, Preprint, 2003.

Murasugi, K. Knot Theory and its Applications, Birkhäuser, Boston-Basel-Berlin, 1996.

Rolfsen, D. Knot and Links, Publish or Perish, Inc., 1976.

Tejada, D. Variedades, Triangulaciones y Representaciones, Preprint, 2003.

Thurston, W. Three Dimensional Geometry and Topology, Princeton, NJ, 1997.

Toro, M. Programación en Mathematica con aplicaciones a la Teoría de Nudos, Preprint, 2003.

Toro, M. Clasificación de nudos: Una aproximación computacional. Preprint, 2002.

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