Abstract
In this paper we first determine all possible connected core-free 2-arc transitive Cayley graphs of the dicyclic group, \(B_{4n}\), and then show that this can be used to classify all connected 2-arc transitive Cayley graphs of this group in terms of regular cyclic covers, provided that we also know connected core-free 2-arc transitive Cayley graphs of the dihedral group.
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Shahsavaran, M., Darafsheh, M.R. & Salarian, M.R. On Classification of 2-Arc Transitive Cayley Graphs of the Dicyclic Group. Graphs and Combinatorics 35, 1179–1195 (2019). https://doi.org/10.1007/s00373-019-02069-4
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DOI: https://doi.org/10.1007/s00373-019-02069-4
Keywords
- Cayley graph
- 2-Arc transitive Cayley graph
- Core-free Cayley graph
- Dicyclic group
- Classification of 2-arc transitive Cayley graphs