English

Kempe equivalence of $4$-critical planar graphs

Combinatorics 2022-07-05 v3

Abstract

Answering a question of Mohar from 2007, we show that for every 44-critical planar graph, its set of 44-colorings is a Kempe class.

Keywords

Cite

@article{arxiv.2101.04065,
  title  = {Kempe equivalence of $4$-critical planar graphs},
  author = {Carl Feghali},
  journal= {arXiv preprint arXiv:2101.04065},
  year   = {2022}
}

Comments

10 pages, 3 figures; incorporated referees' suggestions