{
  "id": "0811.1930",
  "version": "v2",
  "published": "2008-11-12T20:03:30.000Z",
  "updated": "2010-01-12T18:53:54.000Z",
  "title": "Determinants in the Kronecker product of matrices: The incidence matrix of a complete graph",
  "authors": [
    "Christopher R. H. Hanusa",
    "Thomas Zaslavsky"
  ],
  "comment": "15 pages, 2 figures; revised and updated version to appear in Linear and Multilinear Algebra, 2010",
  "categories": [
    "math.CO",
    "math.RA"
  ],
  "abstract": "We investigate the least common multiple of all subdeterminants, lcmd(A x B), of a Kronecker product of matrices, of which one is an integral matrix A with two columns and the other is the incidence matrix of a complete graph with n vertices. We prove that this quantity is the least common multiple of lcmd(A) to the power n-1 and certain binomial functions of the entries of A.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-01-12T18:53:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A15",
      "05C50",
      "15A57"
    ],
    "keywords": [
      "incidence matrix",
      "kronecker product",
      "complete graph",
      "common multiple",
      "binomial functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.1930H"
    }
  }
}