English

Self-complementary distance-regular Cayley graphs over abelian groups

Combinatorics 2023-01-18 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2301.06569,
  title  = {Self-complementary distance-regular Cayley graphs over abelian groups},
  author = {Mojtaba Jazaeri},
  journal= {arXiv preprint arXiv:2301.06569},
  year   = {2023}
}
R2 v1 2026-06-28T08:12:49.626Z