{
  "id": "2206.06148",
  "version": "v1",
  "published": "2022-06-13T13:30:41.000Z",
  "updated": "2022-06-13T13:30:41.000Z",
  "title": "2-semi-equivelar maps on the torus and Klein bottle with few vertices",
  "authors": [
    "Anand Kumar Tiwari",
    "Yogendra Singh",
    "Amit Tripathi"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "The $k$-semi equivelar maps, for $k \\geq 2$, are generalizations of maps on the surfaces of Johnson solids to closed surfaces other than the 2-sphere. In the present study, we determine 2-semi equivelar maps of curvature 0 exhaustively on the torus and the Klein bottle. Furthermore, we classify (up to isomorphism) all these 2-semi equivelar maps on the surfaces with up to 12 vertices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-13T13:30:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B70",
      "52C20"
    ],
    "keywords": [
      "klein bottle",
      "semi equivelar maps",
      "johnson solids",
      "isomorphism",
      "generalizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}