Colored Tutte polynomials and composite knots
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009) (2009).

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Surveying the results of three recent papers and some currently ongoing research, we show how a generalization of Brylawski's tensor product formula to colored graphs may be used to compute the Jones polynomial of some fairly complicated knots and, in the future, even virtual knots.
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     author = {Hetyei, G\'abor and Diao, Yuanan and Hinson, Kenneth},
     title = {Colored {Tutte} polynomials and composite knots},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)},
     year = {2009},
     doi = {10.46298/dmtcs.2715},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2715/}
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Hetyei, Gábor; Diao, Yuanan; Hinson, Kenneth. Colored Tutte polynomials and composite knots. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009) (2009). doi : 10.46298/dmtcs.2715. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2715/

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