{
  "id": "2310.07114",
  "version": "v1",
  "published": "2023-10-11T01:22:04.000Z",
  "updated": "2023-10-11T01:22:04.000Z",
  "title": "Antimagicness for tensor product of wheel and star",
  "authors": [
    "Andrea Semaničová-Feňovčíková",
    "Vinothkumar Latchoumanane",
    "Murugan Varadhan"
  ],
  "comment": "10 pages, 1 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "An antimagic labeling for a graph $G$ with $p$ vertices and $q$ edges is a bijection from the edge set of a graph G to the label set $\\left\\{1,2, \\cdots, q \\right\\}$ such that $p$ vertices must have distinct vertex sums, whereas the vertex sums are calculated by summing all the edge labels incident to each vertex $v \\in V$. Every connected graph, with the exception of $K_2$, is antimagic, conjectured by Hartsfield and Ringel \\cite{Ringel1} in the book called \"Pearls in Graph Theory\". In this paper, we found a class of connected graph for supporting the conjecture. That is, the tensor product of wheel and star is antimagic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-11T01:22:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C78",
      "05C76"
    ],
    "keywords": [
      "tensor product",
      "antimagicness",
      "edge labels incident",
      "connected graph",
      "distinct vertex sums"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}