Let p be an odd prime. In this paper we prove that all tetravalent connected Cayley graphs of order p^3 are normal. As an application, a classification of tetravalent symmetric graphs of odd prime-cube order is given.
Project supported by the National Natural Science Foundation of China (No.19831050, No.10171086); the Shanxi Provincial Natural Science Foundation of China (No.20011004); the Key Program of the Ministry of Education of China (No.02023); the Returned A
In this paper, a complete classification of arc-transitive cubic graphs of order 4p is given.