Abstract
A graph is vertex-transitive if its automorphism group acts transitively on vertices of the graph. A vertex-transitive graph is a Cayley graph if its automorphism group contains a subgroup acting regularly on its vertices. In this paper, a complete classification is given of tetravalent vertex-transitive non-Cayley graphs of order \(2p^2\) for any prime p.
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Cheng, H., Ghasemi, M. & Qiao, S. Tetravalent Vertex-Transitive Graphs of Order Twice A Prime Square. Graphs and Combinatorics 32, 1763–1771 (2016). https://doi.org/10.1007/s00373-016-1688-9
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DOI: https://doi.org/10.1007/s00373-016-1688-9