{
  "id": "2301.06569",
  "version": "v1",
  "published": "2023-01-16T19:04:55.000Z",
  "updated": "2023-01-16T19:04:55.000Z",
  "title": "Self-complementary distance-regular Cayley graphs over abelian groups",
  "authors": [
    "Mojtaba Jazaeri"
  ],
  "categories": [
    "math.CO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-16T19:04:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian group",
      "self-complementary strongly regular cayley graph",
      "study self-complementary distance-regular cayley graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}