Note on robust coloring of planar graphs

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].

Bibliografske podrobnosti
Main Authors: František Kardoš, Borut Lužar, Roman Soták
Format: Article
Jezik:English
Izdano: AGH Univeristy of Science and Technology Press 2024-12-01
Serija:Opuscula Mathematica
Teme:
Online dostop:https://www.opuscula.agh.edu.pl/vol45/1/art/opuscula_math_4507.pdf