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arXiv · 2401.08324

Note on robust coloring of planar graphs

František Kardoš·Borut Lužar·Roman Soták
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Abstract

We consider the robust chromatic number $χ_1(G)$ of planar graphs $G$ and show that there exists an infinite family of planar graphs $G$ with $χ_1(G) = 3$, thus solving a recent problem of Bacsó~et~al. (The robust chromatic number of graphs, Graphs Combin. 40 (2024), #89).

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František Kardoš, Borut Lužar, Roman Soták. 2024-10-10. Note on robust coloring of planar graphs. https://doi.org/10.7494/opmath.2025.45.1.103

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