@Article{Kardoš2025,
author = "Kardoš, František and Lužar, Borut and Soták, Roman",
title = "Note on robust coloring of planar graphs",
journal = "Opuscula Math.",
year = "2025",
volume = "45",
number = "1",
pages = "103--111",
doi = "https://doi.org/10.7494/OpMath.2025.45.1.103",
url = "https://doi.org/10.7494/OpMath.2025.45.1.103",
abstract = "We consider the robust chromatic number \(\chi_1(G)\) of planar graphs \(G\) and show that there exists an infinite family of planar graphs \(G\) with \(\chi_1(G) = 3\), thus solving a recent problem of Bacsó et al. from [The robust chromatic number of graphs, Graphs Combin. 40 (2024), #89].",
keywords = "robust coloring, robust chromatic number, Tutte graph, planar graph",
issn = "1232-9274"
}