Efficient Domination in Cayley Graphs of Generalized Dihedral Groups

An independent subset of the vertex set of the graph Γ is an for Γ if each vertex ∈ has precisely one neighbour in . In this article, we classify the connected cubic Cayley graphs on generalized dihedral groups which admit an efficient dominating set.

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Veröffentlicht in:Discussiones Mathematicae. Graph Theory 2022-08, Vol.42 (3), p.823-841
Hauptverfasser: Caliskan, Cafer, Miklavič, Štefko, Özkan, Sibel, Šparl, Primož
Format: Artikel
Sprache:eng
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Zusammenfassung:An independent subset of the vertex set of the graph Γ is an for Γ if each vertex ∈ has precisely one neighbour in . In this article, we classify the connected cubic Cayley graphs on generalized dihedral groups which admit an efficient dominating set.
ISSN:1234-3099
2083-5892
DOI:10.7151/dmgt.2309