Abstract

AbstractVertex-primitive self-complementary graphs were proved to be affine or in product action by Guralnicket al.[‘On orbital partitions and exceptionality of primitive permutation groups’,Trans. Amer. Math. Soc.356(2004), 4857–4872]. The product action type is known in some sense. In this paper, we provide a generic construction for the affine case and several families of new self-complementary Cayley graphs are constructed.

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