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arXiv:2301.06569 [math.CO]AbstractReferencesReviewsResources

Self-complementary distance-regular Cayley graphs over abelian groups

Mojtaba Jazaeri

Published 2023-01-16Version 1

In this paper, we study self-complementary distance-regular Cayley graphs over abelian groups. We prove that if a regular graph is self-complementary distance-regular, then it is self-complementary strongly regular. We also deal with self-complementary strongly regular Cayley graphs over abelian groups and give an example of a self-complementary strongly regular Cayley graph over a non-elementary abelian group.

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