Cubic edge-transitive graphs of order 2p3 |
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| Institution: | 1. IMFM, Oddelek za matematiko, Univerza v Ljubljani, Jadranska 19, 1111 Ljubljana, Slovenia;2. Department of System Science and Mathematics, Zhengzhou University, Henan Province 450052, People''s Republic of China |
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| Abstract: | Let p be a prime. It was shown by Folkman (J. Combin. Theory 3 (1967) 215) that a regular edge-transitive graph of order 2p or 2p2 is necessarily vertex-transitive. In this paper an extension of his result in the case of cubic graphs is given. It is proved that, with the exception of the Gray graph on 54 vertices, every cubic edge-transitive graph of order 2p3 is vertex-transitive. |
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