{
  "id": "1409.5475",
  "version": "v1",
  "published": "2014-09-18T22:08:17.000Z",
  "updated": "2014-09-18T22:08:17.000Z",
  "title": "A Lattice Path Interpretation of the Diamond Product",
  "authors": [
    "Norman Bradley Fox"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "The diamond product is the poset operation that when applied to the face lattices of two polytopes results in the face lattice of the Cartesian product of the polytopes. Application of the diamond product to two Eulerian posets is a bilinear operation on the cd-indices of the two posets, yielding a product on cd-polynomials. A lattice path interpretation is provided for this product of two cd-monomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-18T22:08:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lattice path interpretation",
      "diamond product",
      "face lattice",
      "polytopes results",
      "bilinear operation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.5475F"
    }
  }
}