On the r-dynamic coloring of some fan graph families

Autor: Falcón Raúl M., Venkatachalam M., Gowri S., Nandini G.
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 29, Iss 3, Pp 151-181 (2021)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2021-0039
Popis: In this paper, we determine the r-dynamic chromatic number of the fan graph Fm,n and determine sharp bounds of this graph invariant for four related families of graphs: The middle graph M(Fm,n), the total graph T (Fm,n), the central graph C(Fm,n) and the line graph L(Fm,n). In addition, we determine the r-dynamic chromatic number of each one of these four families of graphs in case of being m = 1.
Databáze: Directory of Open Access Journals