{
  "id": "1412.6841",
  "version": "v1",
  "published": "2014-12-21T22:55:40.000Z",
  "updated": "2014-12-21T22:55:40.000Z",
  "title": "Signatures, lifts, and eigenvalues of graphs",
  "authors": [
    "Shiping Liu",
    "Norbert Peyerimhoff",
    "Alina Vdovina"
  ],
  "comment": "12 pages, 3 figures",
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "abstract": "We study the spectra of cyclic signatures of finite graphs and the corresponding cyclic lifts. Starting from a bipartite Ramanujan graph, we prove the existence of an infinite tower of $3$-cyclic lifts, each of which is again Ramanujan.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-21T22:55:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eigenvalues",
      "bipartite ramanujan graph",
      "infinite tower",
      "finite graphs",
      "corresponding cyclic lifts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.6841L"
    }
  }
}