{
  "id": "2108.01119",
  "version": "v1",
  "published": "2021-08-02T18:36:45.000Z",
  "updated": "2021-08-02T18:36:45.000Z",
  "title": "Hamiltonicity of the Complete Double Vertex Graph of some Join Graphs",
  "authors": [
    "Luis Manuel Rivera",
    "Ana Laura Trujillo-Negrete"
  ],
  "comment": "8 pages, 1 figure. The results presented in this article were presented in preprint arXiv:2007.00115 which was splitted into two papers",
  "categories": [
    "math.CO"
  ],
  "abstract": "The complete double vertex graph $M_2(G)$ of $G$ is defined as the graph whose vertices are the $2$-multisubsets of $V(G)$, and two of such vertices are adjacent in $M_2(G)$ if their symmetric difference (as multisets) is a pair of adjacent vertices in $G$. In this paper we exhibit an infinite family of graphs $G$ (containing Hamiltonian and non-Hamiltonian graphs) for which $M_2(G)$ are Hamiltonian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-02T18:36:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C45",
      "05C76"
    ],
    "keywords": [
      "complete double vertex graph",
      "join graphs",
      "hamiltonicity",
      "non-hamiltonian graphs",
      "symmetric difference"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}