{
  "id": "2002.06367",
  "version": "v1",
  "published": "2020-02-15T12:22:26.000Z",
  "updated": "2020-02-15T12:22:26.000Z",
  "title": "Classification of Semi-equivelar and vertex-transitive maps on the surface of Euler genus 3",
  "authors": [
    "Debashis Bhowmik",
    "Dipendu Maity",
    "Ashish Kumar Upadhyay",
    "Bhanu Pratap Yadav"
  ],
  "categories": [
    "math.CO",
    "math.GT"
  ],
  "abstract": "If the cyclic sequence of faces for all the vertices in a polyhedral map are of the same types then the map is said to be a Semi-equivelar map. In this article we classify all semi-equivelar and vertex transitive maps on the surface of Euler genus 3, $i.e.$, on the surface of Euler characteristic $-1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-15T12:22:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C20",
      "52B70",
      "51M20",
      "57M60"
    ],
    "keywords": [
      "euler genus",
      "vertex-transitive maps",
      "classification",
      "euler characteristic",
      "polyhedral map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}