{
  "id": "2305.04535",
  "version": "v1",
  "published": "2023-05-08T08:10:35.000Z",
  "updated": "2023-05-08T08:10:35.000Z",
  "title": "On Cohen-Macaulay posets of dimension two and permutation graphs",
  "authors": [
    "Rizwan Jahangir",
    "Dharm Veer"
  ],
  "comment": "7 pages. Comments are welcome",
  "categories": [
    "math.CO"
  ],
  "abstract": "We characterize Cohen-Macaulay posets of dimension two; they are precisely the shellable and strongly connected posets of dimension two. We also give a combinatorial description of these posets. Using the fact that co-comparability graph of a 2-dimensional poset is a permutation graph, we characterize Cohen-Macaulay permutation graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-08T08:10:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06A07",
      "05E40"
    ],
    "keywords": [
      "characterize cohen-macaulay permutation graphs",
      "combinatorial description",
      "co-comparability graph",
      "characterize cohen-macaulay posets",
      "strongly connected posets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}