{
  "id": "0909.2314",
  "version": "v1",
  "published": "2009-09-12T09:12:35.000Z",
  "updated": "2009-09-12T09:12:35.000Z",
  "title": "A new counting methods, including the issue of counting labelled self-complementary graphs",
  "authors": [
    "Shinsei Tazawa"
  ],
  "comment": "13 pages",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "Harary and Palmer announced an enumeration problem of labelled self-complementary graphs at the end of their book (Graphical Enumeration, Academic Press, New York and London, 1973). This paper resolves this problem. A method for solving this problem leads to the derivation of following formulas: (a) A formula on the number of labelled graphs with the given order of automorphism groups of those graphs. (b) A formula on the number of unlabelled graphs with the given order of automorphism groups of those graphs. (c) A formula on the number of labelled self-complementary graphs with the given order of automorphism groups of those graphs. (d) A formula on the number of unlabelled self-complementary graphs with the given order of automorphism groups of those graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-12T09:12:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C25",
      "05C30"
    ],
    "keywords": [
      "counting labelled self-complementary graphs",
      "automorphism groups",
      "counting methods",
      "academic press",
      "enumeration problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.2314T"
    }
  }
}