{
  "id": "2103.10587",
  "version": "v1",
  "published": "2021-03-19T01:50:05.000Z",
  "updated": "2021-03-19T01:50:05.000Z",
  "title": "Progress on the localization number of a graph",
  "authors": [
    "Anthony Bonato",
    "Melissa A. Huggan",
    "Trent G. Marbach"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2005.12780",
  "categories": [
    "math.CO"
  ],
  "abstract": "We highlight new results on the localization number of a graph, a parameter derived from the localization graph searching game. After introducing the game and providing an overview of existing results, we describe recent results on the localization number. We describe bounds or exact values of the localization number of incidence graphs of designs, polarity graphs, and Kneser graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-19T01:50:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "localization number",
      "localization graph searching game",
      "incidence graphs",
      "exact values",
      "polarity graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}