Publication details

Three-coloring triangle-free graphs on surfaces VII. A linear-time algorithm

Authors

DVORAK Zdenek KRÁĽ Daniel THOMAS Robin

Year of publication 2022
Type Article in Periodical
Magazine / Source Journal of Combinatorial Theory. Series B
MU Faculty or unit

Faculty of Informatics

Citation
web http://doi.org/10.1016/j.jctb.2021.07.002
Doi http://dx.doi.org/10.1016/j.jctb.2021.07.002
Keywords Coloring; Surfaces; Triangle-free
Description We give a linear-time algorithm to decide 3-colorability of a triangle-free graph embedded in a fixed surface, and a quadratic-time algorithm to output a 3-coloring in the affirmative case. The algorithms also allow to prescribe the coloring of a bounded number of vertices.

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