Dichromatic polynomial for graph of a (2,n)-torus knot

• Autores: Abdulgani Sahin
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 6, Nº. 1, 2021, págs. 397-402
• Idioma: inglés
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• Resumen

  • In this study, we introduce the relationship between the Tutte polynomials and dichromatic polynomials of (2,n)-torus knots. For this aim, firstly we obtain the signed graph of a (2,n)-torus knot, marked with {+} signs, via the regular diagram of its. Whereupon, we compute the Tutte polynomial for this graph and find a generalization through these calculations.

    Finally we obtain dichromatic polynomial lying under the unmarked states of the signed graph of the (2,n)-torus knots by the generalization.