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arXiv · 1505.07297

Fine structure of 4-critical triangle-free graphs III. General surfaces

Zdeněk Dvořák·Bernard Lidický
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Abstract

Dvořák, Král' and Thomas gave a description of the structure of triangle-free graphs on surfaces with respect to 3-coloring. Their description however contains two substructures (both related to graphs embedded in plane with two precolored cycles) whose coloring properties are not entirely determined. In this paper, we fill these gaps.

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Zdeněk Dvořák, Bernard Lidický. 2017-02-16. Fine structure of 4-critical triangle-free graphs III. General surfaces. https://doi.org/10.1137/15m1023403

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