{
  "id": "2006.14415",
  "version": "v1",
  "published": "2020-06-25T13:58:48.000Z",
  "updated": "2020-06-25T13:58:48.000Z",
  "title": "A counterexample to a conjecture on Schur positivity of chromatic symmetric functions of trees",
  "authors": [
    "Emmanuella Sandratra Rambeloson",
    "John Shareshian"
  ],
  "comment": "3 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that no tree on twenty vertices with maximum degree ten has Schur positive chromatic symmetric function, thereby providing a counterexample to a conjecture from the paper \"Schur and e-positivity of trees and cut vertices\".",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-25T13:58:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "schur positivity",
      "conjecture",
      "counterexample",
      "schur positive chromatic symmetric function",
      "maximum degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}