A dichromatic polynomial for weighted graphs and link polynomials

Traldi, Lorenzo

doi:10.1090/S0002-9939-1989-0955462-3

A dichromatic polynomial for weighted graphs and link polynomials
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by Lorenzo Traldi

Proc. Amer. Math. Soc. 106 (1989), 279-286

DOI: https://doi.org/10.1090/S0002-9939-1989-0955462-3

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Abstract:

A dichromatic polynomial for weighted graphs is presented. The Kauffman bracket of a signed graph, an invariant inspired by the Jones polynomial of a link in three-space, is shown to be essentially an evaluation of this dichromatic polynomial, as are the homfly polynomials of certain particular types of links.

References

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Signed dichromatic graphs of oriented link diagrams and matched diagrams

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Graph theory

Theory of matroids