{
  "id": "1809.06407",
  "version": "v1",
  "published": "2018-09-17T18:55:03.000Z",
  "updated": "2018-09-17T18:55:03.000Z",
  "title": "The Double Star Sequences and the General Second Zagreb Index",
  "authors": [
    "Leonid Bedratyuk"
  ],
  "comment": "13 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "For a simple graph we introduce notions of the double star sequence, the double star frequently sequence and prove that these sequences are inverses of each other. As a consequence, we express the general second Zagreb index in terms of the double star sequence. Also, we calculate the ordinary generating function and a linear recurrence relation for the sequence of the general second Zagreb indexes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-17T18:55:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C07",
      "05C90"
    ],
    "keywords": [
      "general second zagreb index",
      "double star sequence",
      "linear recurrence relation",
      "simple graph",
      "double star frequently sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}