Gábor Hetyei ; Yuanan Diao ; Kenneth Hinson - Colored Tutte polynomials and composite knots

dmtcs:2715 - Discrete Mathematics & Theoretical Computer Science, January 1, 2009, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009) - https://doi.org/10.46298/dmtcs.2715
Colored Tutte polynomials and composite knotsConference paper

Authors: Gábor Hetyei 1; Yuanan Diao ORCID1; Kenneth Hinson 1

  • 1 Department of Mathematics and Statistics

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.

https://doi.org/10.46298/dmtcs.2715
Source: HAL:hal-01185407v1
Volume: DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)
Section: Proceedings
Published on: January 1, 2009
Imported on: January 31, 2017
Keywords: knots,Jones polynomial,Tutte polynomial,signed graphs,tensor product of matroids,[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • Collaborative Research: Exploring the Space of Large Knots and Links; Funder: National Science Foundation; Code: 0712958

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