Homogeneous colourings of graphs

Autor: Tomáš Madaras, Mária Šurimová
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematica Bohemica, Vol 148, Iss 1, Pp 105-115 (2023)
Druh dokumentu: article
ISSN: 0862-7959
2464-7136
DOI: 10.21136/MB.2022.0007-21
Popis: A proper vertex $k$-colouring of a graph $G$ is called $l$-homogeneous if the number of colours in the neigbourhood of each vertex of $G$ equals $l$. We explore basic properties (the existence and the number of used colours) of homogeneous colourings of graphs in general as well as of some specific graph families, in particular planar graphs.
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