{
  "id": "1810.06762",
  "version": "v1",
  "published": "2018-10-16T00:14:33.000Z",
  "updated": "2018-10-16T00:14:33.000Z",
  "title": "Convex expansion for finite distributive lattices with applications",
  "authors": [
    "Xu Wang",
    "Xuxu Zhao",
    "Haiyuan Yao"
  ],
  "comment": "8 pages, 4 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "The concept of cutting is first introduced. By the concept, a convex expansion for finite distributive lattices is considered. Thus, a more general method for drawing the Hasse diagram is given, and the rank generating function of a finite distributive lattice is obtained. In addition, we have several enumerative properties on finite distributive lattices and verify the generalized Euler formula for polyhedrons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-16T00:14:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06D05",
      "06A07",
      "06B05"
    ],
    "keywords": [
      "finite distributive lattice",
      "convex expansion",
      "applications",
      "rank generating function",
      "general method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}