{
  "id": "1612.09217",
  "version": "v1",
  "published": "2016-12-29T17:55:54.000Z",
  "updated": "2016-12-29T17:55:54.000Z",
  "title": "Cauchy-Davenport Theorem for linear maps: Simplification and Extension",
  "authors": [
    "John Kim",
    "Aditya Potukuchi"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give a new proof of the Cauchy-Davenport Theorem for linear maps given by Herdade et al., (2015). This theorem gives a lower bound on the size of the image of a linear map on a grid. Our proof is purely combinatorial and offers a partial insight into the range of parameters not handled previously.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-29T17:55:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear map",
      "cauchy-davenport theorem",
      "simplification",
      "lower bound",
      "partial insight"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}