{
  "id": "1605.04751",
  "version": "v1",
  "published": "2016-05-16T12:55:00.000Z",
  "updated": "2016-05-16T12:55:00.000Z",
  "title": "Discrete Morse theory for the barycentric subdivision",
  "authors": [
    "A. M Zhukova"
  ],
  "comment": "11 pages 3 figures",
  "categories": [
    "math.AT",
    "math.CO"
  ],
  "abstract": "Let $F$ be a discrete Morse function on a simplicial complex $L$. We construct a discrete Morse function $\\Delta(F)$ on the barycentric subdivision $\\Delta(L)$. The constructed function $\\Delta(F)$ \"behaves the same way\" as $F$, i. e. has the same number of critical simplexes and the same gradient path structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-16T12:55:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "discrete morse theory",
      "barycentric subdivision",
      "discrete morse function",
      "gradient path structure",
      "simplicial complex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}