Abstract
In this paper, we define meta-Cayley graphs on dihedral groups. We fully determine the automorphism groups of the constructed graphs in question. Further, we prove that some of the graphs that we have constructed do not admit subgroups which act regularly on their vertex set; thus proving that they cannot be represented as Cayley graphs on groups.
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Allie, I., Mwambene, E. Some Meta-Cayley Graphs on Dihedral Groups. Graphs and Combinatorics 35, 1433–1446 (2019). https://doi.org/10.1007/s00373-019-02097-0
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DOI: https://doi.org/10.1007/s00373-019-02097-0