Unlabeled signed graph coloring

@article{Davis2019UnlabeledSG,
  title={Unlabeled signed graph coloring},
  author={Brian Davis},
  journal={Rocky Mountain Journal of Mathematics},
  year={2019}
}
  • Brian Davis
  • Published 24 November 2015
  • Mathematics
  • Rocky Mountain Journal of Mathematics
We extend the work of Hanlon on the chromatic polynomial of an unlabeled graph to define the unlabeled chromatic polynomial of an unlabeled signed graph. Explicit formulas are presented for labeled and unlabeled signed chromatic polynomials as summations over distinguished order-ideals of the signed partition lattice. We also define the quotient of a signed graph by a signed permutation, and show that its signed graphic arrangement is closely related to an induced arrangement on a distinguished… 
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