English

Three-coloring triangle-free graphs on surfaces VI. 3-colorability of quadrangulations

Combinatorics 2020-08-20 v2 Discrete Mathematics

Abstract

We give a linear-time algorithm to decide 3-colorability (and find a 3-coloring, if it exists) of quadrangulations of a fixed surface. The algorithm also allows to prescribe the coloring for a bounded number of vertices.

Keywords

Cite

@article{arxiv.1509.01013,
  title  = {Three-coloring triangle-free graphs on surfaces VI. 3-colorability of quadrangulations},
  author = {Zdenek Dvorak and Daniel Kral and Robin Thomas},
  journal= {arXiv preprint arXiv:1509.01013},
  year   = {2020}
}

Comments

32 pages, no figures; updated for reviewer comments