English

$5$-list-coloring toroidal $6$-regular triangulations in linear time

Combinatorics 2026-02-10 v3

Abstract

We give an explicit procedure for 55-list-coloring a large class of toroidal 66-regular triangulations in linear time. We also show that these graphs are not 33-choosable.

Cite

@article{arxiv.2106.01634,
  title  = {$5$-list-coloring toroidal $6$-regular triangulations in linear time},
  author = {Niranjan Balachandran and Brahadeesh Sankarnarayanan},
  journal= {arXiv preprint arXiv:2106.01634},
  year   = {2026}
}

Comments

43 pages, 17 figures; an extended abstract of this work was published in Lecture Notes in Computer Science, vol. 13947, Springer, Cham (2023), pp. 134-146, doi:10.1007/978-3-031-25211-2_10

R2 v1 2026-06-24T02:46:59.009Z