{
  "id": "0707.4499",
  "version": "v2",
  "published": "2007-07-30T22:50:37.000Z",
  "updated": "2007-11-22T00:15:59.000Z",
  "title": "A spectral condition for odd cycles in graphs",
  "authors": [
    "Vladimir Nikiforov"
  ],
  "comment": "The main theorem is improved. Updated references",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give a sharp spectral condition for the existence of odd cycles in a graph of given order. We also prove a related stability result.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-11-22T00:15:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50",
      "05C35"
    ],
    "keywords": [
      "odd cycles",
      "sharp spectral condition",
      "related stability result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.4499N"
    }
  }
}