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

Abstract

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. (c) 2021 Elsevier Inc.

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Keywords

• Coloring
• Surfaces
• Triangle-free