{
  "id": "0810.3864",
  "version": "v1",
  "published": "2008-10-21T15:42:15.000Z",
  "updated": "2008-10-21T15:42:15.000Z",
  "title": "A family of determinants associated with a square matrix",
  "authors": [
    "Eugene Gutkin"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We associate with a matrix over an arbitrary field an infinite family of matrices whose sizes vary from one to infinity; their entries are traces of powers of the original matrix. We explicitly evaluate the determinants of matrices in our family. The work is motivated by applications to graph spectra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-21T15:42:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A15",
      "05C50"
    ],
    "keywords": [
      "square matrix",
      "determinants",
      "sizes vary",
      "graph spectra",
      "original matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.3864G"
    }
  }
}