Some meta-cayley graphs on dihedral groups

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Date

2019

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

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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Keywords

Mathematics, Cayley graphs, Groupoid graphs, Meta-cayley graphs

Citation

Allie, I., & Mwambene, E. (2019). Some meta-cayley graphs on dihedral groups. Graphs and Combinatorics, 35 (6) ,1433-1446. https://doi.org/10.1007/s00373-019-02097-0