{
  "id": "math/0607352",
  "version": "v1",
  "published": "2006-07-14T18:05:31.000Z",
  "updated": "2006-07-14T18:05:31.000Z",
  "title": "Properties of the Generalized Zig-Zag Product of Graphs",
  "authors": [
    "Samuel Cooper",
    "Dominic Dotterrer",
    "Stratos Prassidis"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The operation of zig-zag products of graphs is the analogue of the semidirect product of groups. Using this observation, we present a categorical description of zig-zag products in order to generalize the construction for the category of simple graphs. Also, we examine the covering properties of zig-zag products and we utilize these results to estimate their spectral invariants in general. In addition, we provide specific spectral analysis for some such products.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-14T18:05:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50"
    ],
    "keywords": [
      "generalized zig-zag product",
      "specific spectral analysis",
      "simple graphs",
      "spectral invariants",
      "semidirect product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7352C"
    }
  }
}