English

The polynomial method for 3-path extendability of list colourings of planar graphs

Combinatorics 2023-11-23 v2

Abstract

We restate Thomassen's theorem of 3-extendability, an extension of the famous planar 5-choosability theorem, in terms of graph polynomials. This yields an Alon--Tarsi equivalent of 3-extendability.

Keywords

Cite

@article{arxiv.2305.15509,
  title  = {The polynomial method for 3-path extendability of list colourings of planar graphs},
  author = {Przemysław Gordinowicz and Paweł Twardowski},
  journal= {arXiv preprint arXiv:2305.15509},
  year   = {2023}
}