{
  "id": "1604.03954",
  "version": "v1",
  "published": "2016-04-13T20:00:18.000Z",
  "updated": "2016-04-13T20:00:18.000Z",
  "title": "Chromatic classical symmetric functions",
  "authors": [
    "Soojin Cho",
    "Stephanie van Willigenburg"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this note we classify when a skew Schur function is a positive linear combination of power sum symmetric functions. We then use this to determine precisely when a skew Schur function is the chromatic symmetric function of some graph. As a consequence we prove that of the classical bases for symmetric functions only the elementary symmetric functions can be realised as the chromatic symmetric function of some graph, namely a particular union of complete graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-13T20:00:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05C15",
      "05C25"
    ],
    "keywords": [
      "chromatic classical symmetric functions",
      "chromatic symmetric function",
      "skew schur function",
      "power sum symmetric functions",
      "elementary symmetric functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160403954C"
    }
  }
}