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arXiv · 2202.03885

Computer assisted discharging procedure on planar graphs: application to 2-distance coloring

Hoang La·Petru Valicov
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Abstract

Using computational techniques we provide a framework for proving results on subclasses of planar graphs via discharging method. The aim of this paper is to apply these techniques to study the 2-distance coloring of planar subcubic graphs. Applying these techniques we show that every subcubic planar graph $G$ of girth at least 8 has 2-distance chromatic number at most 6.

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Hoang La, Petru Valicov. 2022-02-13. Computer assisted discharging procedure on planar graphs: application to 2-distance coloring. https://arxiv.org/abs/2202.03885

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