{
  "id": "1009.1917",
  "version": "v1",
  "published": "2010-09-10T00:16:17.000Z",
  "updated": "2010-09-10T00:16:17.000Z",
  "title": "f-vectors of Simplicial Posets that are Balls",
  "authors": [
    "Samuel Kolins"
  ],
  "comment": "25 pages",
  "categories": [
    "math.CO",
    "math.AC",
    "math.GT"
  ],
  "abstract": "Results of R. Stanley and M. Masuda completely characterize the h-vectors of simplicial posets whose order complexes are spheres. In this paper we examine the corresponding question in the case where the order complex is a ball. Using the face rings of these posets, we develop a series of new conditions on their h-vectors. We also present new methods for constructing poset balls with specific h-vectors. These results allow us to give a complete characterization of the h-vectors of simplicial poset balls up through dimension six.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-10T00:16:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13F55",
      "05E99",
      "55U10",
      "13F50"
    ],
    "keywords": [
      "simplicial poset balls",
      "constructing poset balls",
      "order complexes",
      "specific h-vectors",
      "complete characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.1917K"
    }
  }
}