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arXiv · 1601.01197

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

Zdenek Dvorak·Daniel Kral·Robin Thomas
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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.

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Zdenek Dvorak, Daniel Kral, Robin Thomas. 2016-01-06. Three-coloring triangle-free graphs on surfaces VII. A linear-time algorithm. https://arxiv.org/abs/1601.01197

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