{
  "id": "1510.08488",
  "version": "v1",
  "published": "2015-10-28T21:09:26.000Z",
  "updated": "2015-10-28T21:09:26.000Z",
  "title": "A note on the Ramsey number of even wheels versus stars",
  "authors": [
    "Sh. Haghi",
    "H. R. Maimani"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "For two graphs $G_1$ and $G_2$ the Ramsey number $R(G_1,G_2)$ is the smallest integer $N$, such that for any graph on $N$ vertices either $G$ contains $G_1$ or $\\overline{G}$ contains $G_2$. Let $S_n$ be a star of order $n$ and $W_m$ be a wheel of order $m+1$. In this paper, it is shown that $R(W_n,S_n)\\leq{5n/2-1}$, where $n\\geq{6}$ is even. It was proven a theorem which implies that $R(W_n,S_n)\\geq{5n/2-2}$, where $n\\geq{6}$ is even. Therefore we conclude that $R(W_n,S_n)=5n/2-2$ or $5n/2-1$, for $n\\geq{6}$ and even.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-28T21:09:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C55",
      "05D10"
    ],
    "keywords": [
      "ramsey number",
      "smallest integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}