{
  "id": "1903.06767",
  "version": "v1",
  "published": "2019-03-15T19:15:51.000Z",
  "updated": "2019-03-15T19:15:51.000Z",
  "title": "Stability of Critical p-Improper Interval Graphs",
  "authors": [
    "Jeffrey Beyerl"
  ],
  "comment": "6 pages",
  "journal": "Congressus Numerantium, 2017, Volume 228",
  "categories": [
    "math.CO"
  ],
  "abstract": "A $p$-improper interval graph is an interval graph that has an interval representation in which no interval contains more than $p$ other intervals. A critical $p$-improper interval graph is $p-1$ improper when any vertex is removed. In this paper we investigate the spectrum of impropriety of critical $p$-improper interval graphs upon the removal of a single vertex, which is informally known as the stability of the graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-15T19:15:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C76"
    ],
    "keywords": [
      "critical p-improper interval graphs",
      "interval representation",
      "single vertex",
      "interval contains",
      "impropriety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}