{
  "id": "2206.09695",
  "version": "v1",
  "published": "2022-06-20T10:33:40.000Z",
  "updated": "2022-06-20T10:33:40.000Z",
  "title": "Almost resolvable even cycle systems of $(K_u \\times K_g)(λ)$",
  "authors": [
    "S. Duraimurugan",
    "A. Shanmuga Vadivu",
    "A. Muthusamy"
  ],
  "comment": "20 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we prove that almost resolvable $k$-cycle systems (briefly $k$-ARCS) of $(K_u \\times K_g)(\\lambda)$ exists for all $k \\equiv 0(mod \\ 4) $ with few possible exceptions, where $\\times$ represents tensor product of graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-20T10:33:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cycle systems",
      "resolvable",
      "represents tensor product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}