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Publication details
Three-coloring triangle-free graphs on surfaces VII. A linear-time algorithm
Authors | |
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Year of publication | 2022 |
Type | Article in Periodical |
Magazine / Source | Journal of Combinatorial Theory. Series B |
MU Faculty or unit | |
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. |