{
  "id": "2410.17674",
  "version": "v1",
  "published": "2024-10-23T08:48:14.000Z",
  "updated": "2024-10-23T08:48:14.000Z",
  "title": "On local antimagic chromatic number of the join of two special families of graphs -- II",
  "authors": [
    "Gee-Choon Lau",
    "Wai Chee Shiu"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "It is known that null graphs and 1-regular graphs are the only regular graphs without local antimagic chromatic number. In this paper, we proved that the join of 1-regular graph and a null graph has local antimagic chromatic number is 3. Consequently, we also obtained many families of (possibly disconnected or regular) bipartite and tripartite graph with local antimagic chromatic number 3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-23T08:48:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C78",
      "05C69"
    ],
    "keywords": [
      "local antimagic chromatic number",
      "special families",
      "null graph",
      "regular graphs",
      "tripartite graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}