{
  "id": "1706.00829",
  "version": "v1",
  "published": "2017-06-02T19:47:30.000Z",
  "updated": "2017-06-02T19:47:30.000Z",
  "title": "The star sequence and the general first Zagreb index",
  "authors": [
    "Leonid Bedratyuk",
    "Oleg Savenko"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "For a simple graph, we introduce a notion of the star sequence and prove that the star sequence and the frequently sequences of a graph are inverses of each other from a combinatorial point of view. As a consequence, we express the general first Zagreb index in terms of the star sequence. Also, we calculate the ordinary generating function and find a linear recurrence relation for the sequence of the general first Zagreb indexes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-02T19:47:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C07",
      "G.2.2"
    ],
    "keywords": [
      "general first zagreb index",
      "star sequence",
      "linear recurrence relation",
      "simple graph",
      "combinatorial point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}