{
  "id": "1005.4156",
  "version": "v2",
  "published": "2010-05-22T23:36:01.000Z",
  "updated": "2010-06-15T19:04:17.000Z",
  "title": "Face numbers of cubical barycentric subdivisions",
  "authors": [
    "Christina Savvidou"
  ],
  "comment": "8 pages, 1 figure",
  "categories": [
    "math.CO"
  ],
  "abstract": "The cubical barycentric subdivision sd_c(K) of a cubical complex K is introduced as an analogue of the barycentric subdivision of a simplicial complex. Explicit formulas for the short and long cubical h-vector of sd_c(K) are given, in terms of those of K. It is deduced that symmetry and nonnegativity of these h-vectors, as well as real rootedness of the short cubical h-polynomial, are preserved under cubical barycentric subdivision. The asymptotic behavior of the short and long cubical h-vectors of successive cubical barycentric subdivisions of K is also determined.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-06-15T19:04:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "face numbers",
      "long cubical h-vector",
      "simplicial complex",
      "successive cubical barycentric subdivisions",
      "explicit formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.4156S"
    }
  }
}